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

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Solution for 0=-1/2x^2+2x+1 equation: 


x in (-oo:+oo)

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

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

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

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

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

DELTA = 6

DELTA > 0

x = (6^(1/2)+2)/(1/2*2) or x = (2-6^(1/2))/(1/2*2)

x = 6^(1/2)+2 or x = 2-6^(1/2)

x in { 2-6^(1/2), 6^(1/2)+2 }

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