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Q6.

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 expression ${b}^{2}-4ac$ is called the discriminant.

The sentence, “The expression ${b}^{2}-4ac$ is called the discriminant. ” is true.

See the step by step solution

## Step 1. Define an expression.

A mathematical expression is a combination of numbers and variables ordered with mathematical operations.

## Step 2. Define the standard form of the quadratic equation.

A quadratic equation, 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 3. Check whether the given sentence is true or false.

For the quadratic equation $y=a{x}^{2}+bx+c$,

The quadratic formula is given by

$x=\frac{-b±\sqrt{{b}^{2}-4ac}}{2a}$

In this formula, the expression under the radical sign, ${b}^{2}-4ac$, is called the discriminant.

Therefore, the sentence, “The expression ${b}^{2}-4ac$ is called the discriminant. ” is true.