1/2x^2+x=1

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


x in (-oo:+oo)

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

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

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

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

DELTA = 3

DELTA > 0

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

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

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

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