x^2-x=1/2

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


x in (-oo:+oo)

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

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

x^2-x-1/2 = 0

x^2-x-1/2 = 0

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

DELTA = 3

DELTA > 0

x = (3^(1/2)+1)/(1*2) or x = (1-3^(1/2))/(1*2)

x = (3^(1/2)+1)/2 or x = (1-3^(1/2))/2

x in { (1-3^(1/2))/2, (3^(1/2)+1)/2 }

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