If the discriminant of quadratic equation $b^{2} - 4 a c = 0$ , then the roots are:

Real and equal

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Roots are equal

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No real roots

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Roots are unequal and irrational

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Solution

The correct option is D Real and equal
Given discriminant:
$D = b^{2} - 4 a c = 0$

Let, $a x^{2} + b x + c = 0$ be a standard quadratic
equation then roots are -

$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a} = \frac{- b}{2 a}, \frac{- b}{2 a}$

Hence, roots are real and equal.

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