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Chapter 9: Q6. (page 592)

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

The expression b2鈭�4acis called the discriminant.

Short Answer

Expert verified

The sentence, 鈥淭he expression b2鈭�4acis called the discriminant. 鈥� istrue.

Step by step solution

01

Step 1. Define an expression.

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

02

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

A quadratic equation, which is written in the form, ax2+bx+c=0, where,a鈮�0 is called the standard form of the quadratic equation.

03

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

For the quadratic equation y=ax2+bx+c,

The quadratic formula is given by

x=鈭�b卤b2鈭�4ac2a

In this formula, the expression under the radical sign, b2鈭�4ac, is called the discriminant.

Therefore, the sentence, 鈥淭he expression b2鈭�4ac is called the discriminant. 鈥� is true.

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