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Q9.

Expert-verified
Found in: Page 592

### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801

# 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.

See the step by step solution

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

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

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

The $x$-intercepts of a function $y=a{x}^{2}+bx+c$ 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 $a{x}^{2}+bx+c=0$ are called the roots.

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

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