Wednesday, January 28, 2015

Solve for sqrt(x^2 - 4x +4) =0

We know:


(a + b)^2 = a^2 -
2ab + b^2


Making a = x and b = 2, the above formula
becomes:


(x - 2)^2 = x^2 - 2*x*2
+2^2


= x^2 - 4x +
4


Therefore:


sqrt(x^2 - 4x +
4) = sqrt[(x - 2)^2]


= x -
2


Substituting this value of sqrt(x^2 - 4x + 4) in given
equation:


x - 2 = 0


==>
x = 2

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