   Chapter 1.1, Problem 146E
Textbook Problem

determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. r146. If b2 − 4ac > 0, then ax2 + bx + c = 0 (a ≠ 0) has two real roots.

To determine

To evaluate: The equation ax2+bx+c=0 (a0) b24ac>0 has two real roots.

Explanation

Given: The equation ax2+bx+c=0 .

(a0) in ax2+bx+c=0 .

(b24ac>0) in ax2+bx+c=0 .

Formula used:

The roots of the quadratic equation is,

x=b±b24ac2a

Calculation:

The standard form of the quadratic equation is ax2+bx+c=0 .

The roots of the quadratic equation is,

x=b±b24ac2a

The term b24ac>0 in the above expression

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