1/2x^2-6x=2

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Solution for 1/2x^2-6x=2 equation: 


x in (-oo:+oo)

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

(1/2)*x^2-(6*x)-2 = 0

(1/2)*x^2-6*x-2 = 0

1/2*x^2-6*x-2 = 0

DELTA = (-6)^2-(-2*1/2*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)+6)/(1/2*2) or x = (6-40^(1/2))/(1/2*2)

x = 2*10^(1/2)+6 or x = 6-2*10^(1/2)

x in { 6-2*10^(1/2), 2*10^(1/2)+6 }

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