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Chapter 9: Q9. (page 592)

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.

Short Answer

Expert verified

The sentence, 鈥淭he solutions of a quadratic equation are called roots鈥� is true.

Step by step solution

01

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

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

02

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

The x-intercepts of a functiony=ax2+bx+c are the points, where the value ofy is equal to 0.

03

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

The values of x that satisfy the quadratic equation ax2+bx+c=0 are called the roots.

It means that the x-intercepts of a quadratic function y=ax2+bx+care called the roots of the quadratic equation ax2+bx+c=0

Therefore, the sentence, 鈥淭he solutions of a quadratic equation are called roots鈥� is true.

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