(1/2)x^2-4x=8

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Solution for (1/2)x^2-4x=8 equation: 


x in (-oo:+oo)

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

(1/2)*x^2-(4*x)-8 = 0

(1/2)*x^2-4*x-8 = 0

1/2*x^2-4*x-8 = 0

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

DELTA = 32

DELTA > 0

x = (32^(1/2)+4)/(1/2*2) or x = (4-32^(1/2))/(1/2*2)

x = 4*2^(1/2)+4 or x = 4-4*2^(1/2)

x in { 4-4*2^(1/2), 4*2^(1/2)+4 }

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