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In the equation $a x^{2} + bx + c = 0$ , it is given that $D = b^{2} - 4 ac = 0$ . Then, the roots of the equation are real and equal.

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False

True

answer is B.

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Detailed Solution

A quadratic equation in the variable x is of the form

a x^{2} + bx + c = 0, a \neq 0

where a, b and c are real numbers and has two equal roots if

b^{2} - 4 ac = 0

∴

In the equation

a x^{2} + bx + c = 0

, it is given that

{D = b}^{2} - 4 ac = 0

.Then, the roots of the equation are equal.
Hence, the given statement is false.
Therefore, option (2) is correct.

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