1/2x^2-x=8

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Solution for 1/2x^2-x=8 equation:


x in (-oo:+oo)

(1/2)*x^2-x = 8 // - 8

(1/2)*x^2-x-8 = 0

1/2*x^2-x-8 = 0

DELTA = (-1)^2-(-8*1/2*4)

DELTA = 17

DELTA > 0

x = (17^(1/2)+1)/(1/2*2) or x = (1-17^(1/2))/(1/2*2)

x = 17^(1/2)+1 or x = 1-17^(1/2)

x in { 1-17^(1/2), 17^(1/2)+1 }

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