Find the value of $x :$
$x^{2} - 4 x + 4 = 0$

2

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1

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0

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None of the above

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Solution

The correct option is A $2$
Given equation is:
$x^{2} - 4 x + 4 = 0$
It can also be written as:
$x^{2} - 2 (2) (x) + (2)^{2} = 0 \dots (1)$
Above equation is of the form of following identity:
$(a - b)^{2} = a^{2} - 2 a b + b^{2}$
Hence, the equation $(1)$ can be written as follows:
$(x - 2)^{2} = 0$ or
$(x - 2) (x - 2) = 0$
$x = 2, 2$

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