(x-6)^1/2=x-2

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Solution for (x-6)^1/2=x-2 equation: 


x in (-oo:+oo)

((x-6)^1)/2 = x-2 // - x-2

((x-6)^1)/2-x+2 = 0

(x-6)/2-x+2 = 0

(x-6)/2+(2*(-x))/2+(2^2)/2 = 0

x+2*(-x)-6+4 = 0

4-x-6 = 0

-x-2 = 0

(-x-2)/2 = 0

(-x-2)/2 = 0 // * 2

-x-2 = 0

-x-2 = 0 // + 2

-x = 2 // * -1

x = -2

x = -2

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