x^2-2x=-1/2

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


x in (-oo:+oo)

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

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

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

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

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

DELTA = 2

DELTA > 0

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

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

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

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