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Which equation has two equal real roots?

Class 10Discriminant and Nature of RootsAlgebra — Quadratics

A $x^{2} - 4 x + 4 = 0$
B $x^{2} - 5 x + 4 = 0$
C $x^{2} + 1 = 0$
D $x^{2} - 3 x + 1 = 0$

Step-by-Step Solution

For

x^{2} - 4 x + 4 : D = 16 - 16 = 0

, so roots are equal. The others give

D = 9

, -4 and 5 respectively.

Answer: A)

x^{2} - 4 x + 4 = 0

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