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Q9.

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Algebra 1

Found in: Page 592

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.
The solutions of a quadratic equation are called roots.

The sentence, “The solutions of a quadratic equation are called roots” is true.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Define the standard form of the quadratic equation.

A quadratic function, which is written in the form, $a x^{2} + b x + c = 0$ , where, $a \neq 0$ is called the standard form of the quadratic equation.

Step 2. Define the x-intercept of a function.

The $x$ -intercepts of a function $y = a x^{2} + b x + c$ are the points, where the value of $y$ is equal to 0.

Step 3. Check whether the given sentence is true or false.

The values of $x$ that satisfy the quadratic equation $a x^{2} + b x + c = 0$ are called the roots.

It means that the $x$ -intercepts of a quadratic function $y = a x^{2} + b x + c$ are called the roots of the quadratic equation $a x^{2} + b x + c = 0$

Therefore, the sentence, “The solutions of a quadratic equation are called roots” is true.

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