The roots of the equation $x^{2} - 8 x + 16 = 0$

Are imaginary

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Are distinct and real

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Are equal and real

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Cannot be ascertained

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Solution

The correct option is C Are equal and real
Given equation is $x^{2} - 8 x + 16 = 0$
Discriminant is ${(- 8)}^{2} - 4 \times 1 \times 16 = 64 - 64 = 0$
Since the discriminant is zero, the quadratic equation has equal and real roots.

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