Q6. - Algebra 1

Question

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.

 

Step-by-Step Solution

Answer

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

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

 $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

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.