x2-4x=1/2

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Solution for x2-4x=1/2 equation: 


x in (-oo:+oo)

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

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

x^2-4*x-1/2 = 0

x^2-4*x-1/2 = 0

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

DELTA = 18

DELTA > 0

x = (18^(1/2)+4)/(1*2) or x = (4-18^(1/2))/(1*2)

x = (3*2^(1/2)+4)/2 or x = (4-3*2^(1/2))/2

x in { (4-3*2^(1/2))/2, (3*2^(1/2)+4)/2 }

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