Quadratic equations worksheet with answers pdf grade 9. - Download as a PDF or view online for free.
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Quadratic equations worksheet with answers pdf grade 9 Math9_Q2-Mod3 - Free download as PDF File (. Each worksheet is available as a PDF file that you can download and share in a variety of ways including printing and on online learning platforms like Google Classroom. Students are always suggested to solve Math 9-1st quarter final exam with TOS and answer key - Free download as PDF File (. Benefits of Quadratic Equation Worksheets. Each worksheet contains ten problems. But we want the terms that contain the variable to be Math9_Q1_Mod3_QuadraticEquation_Version3. The equations presented earlier are rational algebraic equations that are transformable to quadratic equation. • Answer all questions. These worksheets will help the students of class 10 to practice more for board Questions and model answers on Quadratic Equations for the Cambridge (CIE) IGCSE Maths: Extended syllabus, written by the Maths experts at Save My Exams. y = 1, y = – b. This document contains a 35-question mathematics examination on quadratic equations and functions for 9th grade students. doc), PDF File (. This document is a mathematics test from Bigain National High School in the Philippines. Math Gifs; Algebra; Geometry; Quadratic Formula Worksheet (both real and complex solutions) Discriminant Worksheet; Sum and Product of Roots; Radical Equations Worksheet; Menu; Table of If you get all the answers correct (100%), you may decide to skip this module. Solution STEP 1 Write the equation in standard form. We will now solve this for-mula for x by completing the square Example 1. In this example, the coefficient of x2 is positive. 0 only b. The product of two consecutive odd numbers is 143. 5, 10 Ans2. Find the function g for the translated graph, giving your answer in the form g(x) = 3(x – p)2 + q. There are four different methods used to solve equations of this type. −x2+5x+14=0 4. We solved the examples earlier through quadratic formula. This summative test assesses students' understanding of key concepts in quadratic equations through 9. This document provides 10 problems involving quadratic equations. Title: Quadratic Equations By Completing the Square Elementary Algebra Skill Solving Quadratic Equations by Factoring Solve each equation by factoring. 2x 2 + 3x – 1 = 0 is a quadratic equation Solve quadratic equations by inspection (e. Since there are no x-intercepts, there are no real roots of the equation. This is exactly what is done in the next example. Solving Quadratic Equations (B) Solving Quadratic Equations (B) by FactorisingProgression: Medium ANSWERS Section A Find the solutions to the following equations. Always check your results. Solve the quadratic inequalities and represent the solutions on a number line. my CHAPTER 2: QUADRATIC EQUATIONS 1. The test Mathematics 9 LAS - Free download as Word Doc (. It then provides two examples of transforming equations step-by-step into the standard form of a quadratic equation (ax2 + bx + c = 0) and solving for Solving Quadratic Equations by Factoring Date_____ Period____ Solve each equation by factoring. For example, we know thatx2= 9is a quadratic equationinax2 10. We Click on the following worksheet to get a printable pdf document. The expression under the radical sign of the quadratic formula plays an important role in the calculation of the roots. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. For instance: x2 4 0 is quadratic x2 2x 0 Topic – Quadratic Equations INTRODUCTION– An equation with one variable, in which the highest power of the variable is two, is known as quadratic equation. 0 and 128 (2) The ratio of the speeds of two vehicles is 5:4. 3) The GRADE 9 Learning Module for Junior High School Mathematics 5 Let’s investigate! Shown on the right is the graph of the quadratic function defined by y = -16x2 + 32x Notice that the parabola opens downward. GCSE (1 -9) Quadratic Simultaneous Equations Instructions Use black ink or ball-point pen. (a), (b), (d), (f) all grade students can practice the questions on addition and subtraction together. x2 2 4x 1 7 5 0 Subtract 4x from each side. Look. = 2, what could the equation be? (select all correct answers) x 2 + 5x + 6 = 0. Answer all questions. 2, to the nearest I. Equations . Mathematics Learner’s Material 9 Module 2: Quadratic Functions This instructional material was collaboratively developed and reviewed by educators from public and private schools, colleges, and/or universities. View & Get Complete Material Rs. This worksheet will teach you how to solve quadratic problems using the quadratic formula. IMO Level 1- Mathematics Olympiad (SOF) Class 8 Coaching Programs. STEP 2 Graph the function y5 x2 2 4x 1 7. (D) The function of the graph is y = a( x + 3 )( x – 1 ) with A superb collection of Free Year 9 Maths Worksheets, download the PDF and be test-ready. As you might have noticed, quadratic equations in this form do not have a linear term or a term with a variable raised to 1. Grade 10 - Quadratic Equations problems, online practice, Make sure you always get your answers right in Quadratic Equations. Use the square root property to solve for the roots of the following quadratic equations. Answer all items. In some cases parabola opens upward. 0. Each one has model problems worked out step by step, practice problems, challenge proglems. Math worksheet on quadratic equations will help the students to practice the standard form of quadratic equation. a. pptx), PDF File (. 1) ( x 2 )( x 3 ) 0 - 2, - 3 2) ( 4x 3 )( x 3 ) 0 Maths worksheets Created Date: Grade 8 Quadratic Equations Worksheet Questions and Answers. 8 m b. IB Questionbank Maths SL 7 14. The general from of a quadratic is ax2 + bx + c = 0. 4x2 – 3 = 9 5. = 2 − 2 C. 1) x2 − 7x − 18 2) p2 − 5p Many answers. Diagrams are NOT accurately drawn, unless otherwise indicated. x2−7x+6=0 6. This is a math PDF printable activity sheet with several exercises. Answers for worksheet on quadratic equations are given below to check the exact answers of the above equations. • You must show all your working out. -1-Solve each equation by factoring. 📹 Video Course 2024 (34 Lectures [13 hrs : 32 mins]): Offline Support. x2+4x−5=0 3. how to factor quadratics. Download PDF. Math9_q1_mod2_Solving Quadratic Inequality_v3-1 - Free download as PDF File (. GCSE (1 – 9) Quadratic Simultaneous Equations Name: _____ Instructions • Use black ink or ball-point pen. Tags: 10th Grade 8th Grade 9th these comprehensive exercises will help you excel in solving equations using the quadratic formula. Here you will find a range of worksheets to help you to learn to factorise a range of different quadratic equations of the form ax 2 + bx + c = 0 . The document is a summative test in mathematics for grade 9 that focuses on quadratic functions. By solving problems in quadratic equation worksheets, a student can improve his ability to calculate quickly. The roots of the equation are –3. edu. No decimal answers. This document appears to be a math summative test covering topics related to quadratic equations. It includes examples of solving quadratic equations of the form x^2 = k by extracting square roots. The quadratic function f is defined by f(x) = 3x2 – 12x + 11. It covers topics like the • Student will apply methods to solve quadratic equations used in real world situations. 1) x2 - 8x + 16 = 02) 2n2 - 18n + 40 = 0 Curriculum-based maths in NSW. Scribd is the world's largest social reading and publishing site. Two numbers, which differ by 3, have a product of 88. (3) (b) The graph of f is translated 3 units in the positive x-direction and 5 units in the positive y-direction. Students can use them to solve quadratic problems and Mathematics 9th Grade, Week 9 Assignment: Quadratic Equations Solve the quadratic equation by graphing: 1. 75 seconds, while Jayla’s lands in 3. 00. Answers: 1. Solve for the roots of the following quadratic equations by extracting the roots. Solve the following linear equations for 𝑥: a) 4(𝑥+2)−3=2(3−𝑥) )b) 7𝑥+3(𝑥−5=0 (c) 5𝑥+2)=5(𝑥−2) d) 3𝑥+9=4(𝑥−2) (e) (1 3 𝑥−2)=2𝑥−6 (f) Free Download Quadratic Equations Worksheet Grade 9 With Answers Pdf These worksheets are intended for students in the 5th to 8th grades. x2 +5x +6=0 Factor (x +3)(x +2)=0 Seteachfactorequaltozero x +3=0 or x +2=0 Solveeachequation Worksheet 17 Memorandum: Algebraic Equations (Term 3) Grade 9 Mathematics 1. txt) or view presentation slides online. This is the best way to solve quadratic problems. : −5 ; :2 +3 ; = 7 2 2 – 7 – 15 = 7 2 2 – 7 – 8 = 0 Welcome to The Solving Quadratic Equations with Positive or Negative 'a' Coefficients up to 9 (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills. docx - Free download as Word Doc (. Example 1 (a) Draw the graph yx=2. Illustrations of Quadratic Equations - Free download as Word Doc (. 9 VIII Solving Equation Transformable to Quadratic Equation (including rational algebraic equations) Mathematics - Grade 9 Quarter 1 - Log in Join. edugain. When solving quadratic equations in the past we have used factoring to solve for our variable. The standard form of a quadratic equation is 2+ + =0 , where , and are all real numbers and ≠0. s Name: _____Math Worksheets Date: _____ So Much More Online! Please visit: EffortlessMath. , for x2 = 49), taking square roots, factoring, completing the square, and the quadratic formula, as appropriate to the initial form of the equation (limit to real number solutions). It Grade 9 Algebra 1 Students expecting to take Algebra 1 next year at Lowell High should demonstrate the ability to: G e n e r al : Keep an organized notebook Be a good note taker Complete homework every night Be active learners Ask questions and participate in class Seek help outside of class if needed Work with others Quadratic Equations We use the formula -b± b -4ac2 x= 2a for the roots of the quadratic equation of the form ax2 + bx + c = 0 where a ≠ 0. Title: Quadratic Formula worksheets. 5x2 – 100 = 0 B. To check if the equation is quadratic, multiply the left side of the equation and simplify by combining similar terms. This worksheet is a supplementary seventh grade resource to help teachers, parents and children at home and in school. 2 Solving Quadratic Equations in Vertex Form Worksheet Graph each quadratic equation and identify all the following information: 1) (𝑓 )=( −3)2+1 a. rational solutions, irrational solutions, complex solutions, worksheets with answers. 0 - Free download as PDF File (. This 4-week unit focuses on quadratic equations and functions. Online or Generated A. Questions: Answers 1) 2x2 + 5x + 2 = 0 x = 12 or x = 3 2) 24x + 3x – 7 = 0 x = - 21 or x = - 1 3) x2 + 2x - 5 = 0 x = - 1 2 or x = -2 Free worksheet with answer keys on quadratic equations. Practice Questions. Equation must be in one unknown only 2. pdf - Free download as PDF File (. a) Simplify the expression f x x x 3 12 3 2 3 6 b) Solve the equation f x x 23 if f (x) is as in (a) above c) Solve for x if u f x x 3 2 3 if x is an integer and if f (x) is as in (a) above equation of the form (x – p)2 = q that has the same solutions. GRADE 9 MATH Q1 M1 - Free download as Word Doc (. 6(0) + 58. Quadratic function - Grade 9 | Math - Free download as PDF File (. pptx - Free download as Powerpoint Presentation (. 1-9. 1) m2 − 5m − Q p TMAapd Lec GwAi7t eh4 JI Tnxf Gixn UiRtVew rA9l NgBeAb2rsa U B1u. edupstairs. 17. EffortlessMath. 4 Quadratics - Quadratic Formula Objective: Solve quadratic equations by using the quadratic formula. 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The worksheets cover topics like identifying quadratic equations, writing quadratic equations in standard form, determining if a Welcome to the Mathematics 9 Alternative Delivery Mode (ADM) Module on Quadratic Equation. 1) x2 − 9x + 18 = 0 2) x2 + 5x + 4 = 0 3) n2 − 64 = 0 4) b2 + 5b = 0 5) 35n2 + 22n + 3 = 0 6) 15b2 + 4b − 4 = 0 7) 7p2 − 38p − 24 = 0 8) 3x2 + 14x − 49 = 0 9) 3k2 − 18k − 21 = 0 10) 6k2 − 42k + 72 = 0 11) x2 = 11x − 28 12) k2 + 15k = −56 Free Download Quadratic Equations Worksheet Grade 9 With Answers Pdf. pdf from MATH 9 at Camarines Norte State College. Find the solutions of each of the following quadratic equations Using the Quadratic Formula Date_____ Period____ Solve each equation with the quadratic formula. The general formula for a quadratic graph is yax bx c=++2 where a, b and c are constants. What Relate the quadratic equations in real life situations What I Know Learning Module for Grade 9 Mathematics 9 | P a g e 2 2 2 25 ( ) (2) 5 25 2 5 0 / Thus, the equation 2 5 Grade 9: Mathematics Unit 1 Quadratic Equations and Inequalities. The document discusses different methods for solving quadratic equations: 1) Extracting square roots to solve equations in the form x^2 = k. Factoring Method If the quadratic polynomial can be What I Need to Know The mathematical statement with a second degree equations in one variable is a quadratic equation which is written in standard form ax 2 + bx + c = 0. Madas Find the exact solution of the following simultaneous equations ( ) ( ) 9 216 5 1 24 5 y x y x Factoring Quadratic Expressions Date_____ Period____ Factor each completely. y = –1, y = d. Solve for the real roots of 2 − Welcome to The Solving Quadratic Equations with Positive 'a' Coefficients up to 9 (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills. The test contains multiple Solve Quadratic Equations by Factoring. i U jArl[li nrWiQgwhptss\ SrLeEsCeQrbv^eddv. This document contains 12 worksheets with math problems related to quadratic equations and functions. 2. doc / . Contents: you will get a brand new printable PDF MHR • Pre-Calculus 11 Solutions Chapter 4 Page 4 of 95 f) Solve 0 = t2 + 4t + 10 by graphing the corresponding function y = t2 + 4t + 10. 0 and 64 c. (C) The function of the graph is y = a( x – 3 )( x + 1 ) with a minimum value of 8. 25, 16 Ans4. This document is a mathematics module that covers solving problems involving quadratic equations and rational algebraic equations. Year 9 Maths Advanced. It begins with an overview of the lesson and introduces prerequisite skills. Year 9 Solving Quadratic Equations quiz for 9th grade students. (B) The function of the graph is y = a( x + 3 )( x – 1 ) with a maximum value of 8. Title: Solving Quadratic Factoring Author: Mike Chapter 7 – Quadratic Equations contains one exercise and ML Aggarwal Class 9 Solutions present on this page provide solutions to questions related to each topic discussed in this Name: _____Math Worksheets Date: _____ So Much More Online! Please visit: EffortlessMath. 1) v2 + 2v − 8 = 0 2) k2 + 5k − 6 = 0 3) 2v2 Create your own worksheets like this one with Infinite Algebra 2. Quadratic Formula Author: John Corbett Created Date: 10/27/2014 11:22:17 AM MODULE 1B - Free download as PDF File (. Printable (Answers on the second page. More Quadratic Word Problem Worksheets. Madas Created by T. Videos and Worksheets; Primary; 5-a-day. First, we will find for the roots of its corresponding quadratic equation by using any of the four methods on how to solve quadratic equations (By Extracting the Square Roots, Factoring, Completing the Square or by Quadratic SOLVING QUADRATIC EQUATIONS A quadratic equation in is an equation that may be written in the standard quadratic form if . 10, 6 Ans6. Find the value of k in each of the following quadratic equations, for which the given value of x is a root Answers (Word Problems) Ans1. docx), PDF File (. PDF-1. For example, we can describe linear equations with one unknown as equations that contain only first powers of the unknown. • Answer the questions in the spaces provided – there may be more space than you need. Answer the questions in the spaces provided — there may be more space than you need. It has an answer key attached on the second page. This math worksheet was created or last revised on 2019-11 Grade 9 Mathematics Worksheet Edupstairs Grade R - 9 Learning www. 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These worksheets provide Amber Worksheet - Solve the following quadratics using the quadratic formula and match the question to the answer. x2 1 7 5 4x Write original equation. Section 4. Home » Algebra » Quadratic Inequalities Worksheets. Use the quadratic formula to solve the equation You must show all your working and LESSON-exemplar-math-9-WEEK 3 - Free download as Word Doc (. This expression enables us to determine the discriminant and Example MYP Unit Planner Grade 9 Quadratics - Free download as Word Doc (. 2) Factoring quadratic expressions and using the zero product property. It contains 50 multiple G9_First Quarter_Worksheet and Performance Task - Free download as PDF File (. Information The document provides learning materials for a Grade 9 mathematics lesson on solving quadratic equations by extracting square roots. Lesson 2 (continued): Graphing Quadratic Equations and Functions Graph each quadratic equation/function on the provided coordinate plane. 128 only d. Substitute these values into the quadratic formula: The roots are: _____ Example 1: Using the quadratic formula, solve for the following equations: Lesson 1 – Quadratic Equations Lesson 2 – Quadratic Inequalities Lesson 3 – Quadratic Functions and Applications In these lessons, you will learn the following: Lesson 1 Quadratic Equations illustrates quadratic equations solves quadratic equations by: (a) extracting square roots; (b) factoring; (c) completing the square and (d) using the 5. NQ - This is a Grade_9_math_worksheets - Free download as PDF File (. 1) 4a2 +6=0 3) 2x2 − 8x − 2=0 5) 2m2 − 3=0 7) 3r2 − 2r − 1=0 9) 4n2 − 36 =0 11) v2 − 4v − 5= − 8 13) 2a2 +3a+ 14=6 15) 3k2 +3k − 4=7 17) 7x2 +3x − 16 = − 2 19) 2p2 +6p− 16 =4 21) 3n2 +3n= − 3 23) 2x2 = − 7x + 49 25) 5x2 =7x +7 27) 8n2 = − 3n− 8 29) 2x2 +5x = − 3 31) 4a2 − 64=0 Identify the choice that best completes the statement or answers the question. Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance First periodical test in Math 9 - Free download as Word Doc (. EXAMPLE 3: 2Solve by completing the square: − −6=0 SOLUTION Step 1: This equation is in standard form. The highest power of the unknown is 2 Examples 1. Solving quadratic equations worksheets practice questions and answers cazoomy pdf grade 9 math marjorie noquera academia edu formula monks solve equation by factoring printable examples nature of roots in Here are the answers with explanations: 1. These two-step word problem are created using 1st Quarter Examination Grade 9 - Free download as Word Doc (. grade-9 (1st). Q - This is a quadratic equation in the form of ax^2 = b, where a = 1 and b = 9. The questions math 9 TQ Q1 S4 - Free download as Word Doc (. 1 Quadratic Expressions In this section we revisit quadratic formulae and look at the graphs of quadratic functions. 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This math worksheet was created or last Subject Matter Topic: Illustrations of Quadratic Equations Reference: Grade 9 Mathematics Learner’s Module Materials: Worksheets, Visual aids (manila paper, cartolina) 6 8 = 3 4 = −16 8 =−2 So =3 4 and =−2 when 4 2+5 −6=0. com Solving a Quadratic Equation Solve each equation by factoring or using the quadratic formula. ____ 1. Factor and solve for Year 9 Solving Quadratic Equations quiz for 9th grade students. !Solve the equation x² − 2x − 9 = 0!Give your answers to two decimal places. com 3 Quadratic Formula and the Discriminant Find the Answers Quadratic formula and the discriminant 1) 1 2) 8 3) −11 4) −15 5) 9 6) 40 7) 17 8) 60 9) −45 10) 57 11) 41 12) 60 13) 96 14) −7 As a student becomes well versed with simpler concepts, they move on to introducing more complicated questions based on solving quadratic equations, finding roots, etc. 4 %âãÏÓ 4208 0 obj Math 9 Test - Free download as Word Doc (. 7. 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Introduction and standard form of Quadratic Equations In mathematics, a quadratic equation is a univariate polynomial equation of the second degree. Price Per Month, with 3/6/12-Month Discounts. 1) p2 + 14 p − 38 = 0 2) v2 + 6v Create your own worksheets like this one with Infinite Algebra 2. Title: Quadratic Formula GRADE 9 Learning Module for Junior High School Mathematics Development Team of the Module Write the letter that you think is the best answer to each question on your answer sheet. m2 + 12 = 48 3. Tags: 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th Grade 7th Grade 8th Grade 9th Grade 10th Grade 11th Grade 12th Grade. Write quadratic equation into standard form Solve the ff. Circle one: 9) Write a quadratic equation with a minimum that has been shifted 5 units to the right and 7 This document provides instructions for an activity on solving equations that are transformable into quadratic equations, including rational algebraic equations. 27 Ans9. 5/8 Ans8. Problem 1 asks to solve the quadratic equation 2x^2 - 7x x y y 5 2x2 1 2x 2 1 1 3 x y y 5 x2 2 4x 1 7 4 1 EXAMPLE 3 Solve a quadratic equation having no solution Solve x2 1 7 5 4x by graphing. Grade 9. org Equations, expressions and factorization Questions: 1. Created by T. Which set of data is correct for this graph? Axis of Symmetry Vertex Domain Range A. Identifying Quadratic Equation worksheet LiveWorksheets. Year9Worksheet10: QuadraticequationsandGraphsofParabolas Question1:Answerthefollowing. Scroll down the page for more Quadratic Word Problem Worksheets. )a) 4(𝑥+2)−3=2(3−𝑥 ( b) 7𝑥+3𝑥−5)=0 4𝑥+8−3=6−2𝑥 7𝑥+3𝑥−15=0 4𝑥+2𝑥 grade 9 mathematics worksheet memorandum for algebraic equations in the third term for CAPS syllabus Quadratic Equations Worksheet 1 - Free download as PDF File (. Access a wealth of interactive and printable Grade 9 Quadratic Formula Worksheets 2024 worksheets designed to enhance learning experiences. Derive the quadratic formula from this form. 3x 2 - 6x = 0. Which statement is correct for the quadratic function graphed below? 5. g. Now a definition of the linear and the quadratic equation with one unknown can be introduced. This module was designed to provide you with fun and meaningful opportunities for guided It contains 40 multiple choice questions testing concepts in quadratic equations like identifying quadratic terms, writing equations in standard form, finding roots using factoring and the Worksheet 17: Algebraic Equations Grade 9 Mathematics 1. Language: English (en (1955812) From worksheet author: A Thank you for visiting the 9th Grade Math Worksheets Library from Mashup Math! The collection below shares hundreds of printable and topic-specific 9th grade math worksheets. Which of the following is general form of a quadratic function? A) = 2− − C) = 2+ − B) = 2− + D) = 2+ + 7. Final Mathematics 9 Q1 Module 2a The Nature of the Roots of Quadratic Equations v1. Find topic revision quizzes, diagnostic quizzes, extended response questions, past papers, videos and worked solutions for Quadratic Equations. 7, 12 Ans3. These worksheets are intended for students in the 5th to 8th grades. ppt / . Quadratic Word Problems Short videos: = –4. b. x 2 + 2x = 0. These worksheets are available on the internet and printed. GRADE 9 MATH PRE-TEST - Free download as Word Doc (. Start New Test Sample PDF Worksheet. It includes two Quadratic Equation Worksheet PDF: Here, you will get Quadratic Equation Maths worksheets for class 10 PDF at free of cost. x 2 - 9x +14 = 0. (a) Write f in the form f(x) = 3(x – h)2 – k. Find other quizzes for Mathematics and more on Quizizz for free! Enter code. Click here for Answers. y = 1, y = – c. −x2+8x=0 5. 3. Our educational resources empower teachers and inspire students to excel academically. y = 1, y = –5 –4 –3 –2 –1 1 234 5x 1 2 3 Level 9 . The roots of quadratic equations can be solve using any of Previous: Factorising Quadratics Practice Questions Next: Adding Fractions Practice Questions GCSE Revision Cards Final Mathematics-9-Q1-Module-5B-Solving-Problems-Involving-Quadratic-Inequalitiesv1. ax2 + bc+ c=0 Separateconstantfromvariables − c− c Subtractcfrombothsides ax2 + bx = − c Divideeachtermbya Solve quadratic equations by extracting square roots pdf grade 9 math worksheets marjorie noquera academia edu solving root method chilimath answer this pleaseeee directions each of the following brainly ph g9 q1 m2 ii mathematics quarter 1 module math9 course hero methods to types examples lesson transcript study com tagalog equation you tutorial Solve ans_exte_10. The document provides lesson materials on solving quadratic equations. 1 Page 215 Question 4 a) Solve n2 – 10 = 0 by graphing the corresponding function y = n2 – 10. Ex: 0, 2, −4, −10 , −18-2-Create your own worksheets like this one with Infinite Algebra 2. 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