x^2-x=1/4

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Solution for x^2-x=1/4 equation: 


x in (-oo:+oo)

x^2-x = 1/4 // - 1/4

x^2-x-(1/4) = 0

x^2-x-1/4 = 0

x^2-x-1/4 = 0

DELTA = (-1)^2-(-1/4*1*4)

DELTA = 2

DELTA > 0

x = (2^(1/2)+1)/(1*2) or x = (1-2^(1/2))/(1*2)

x = (2^(1/2)+1)/2 or x = (1-2^(1/2))/2

x in { (1-2^(1/2))/2, (2^(1/2)+1)/2 }

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