12-4x=x^2/2

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Solution for 12-4x=x^2/2 equation: 


x in (-oo:+oo)

12-(4*x) = (x^2)/2 // - (x^2)/2

12-((x^2)/2)-(4*x) = 0

12-((x^2)/2)-4*x = 0

12-1/2*x^2-4*x = 0

DELTA = (-4)^2-(-1/2*4*12)

DELTA = 40

DELTA > 0

x = (40^(1/2)+4)/(-1/2*2) or x = (4-40^(1/2))/(-1/2*2)

x = -(2*10^(1/2)+4) or x = -(4-2*10^(1/2))

x in { -(2*10^(1/2)+4), -(4-2*10^(1/2)) }

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