x^2-x/2=72

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Solution for x^2-x/2=72 equation:


x in (-oo:+oo)

x^2-(x/2) = 72 // - 72

x^2-(x/2)-72 = 0

x^2-1/2*x-72 = 0

DELTA = (-1/2)^2-(-72*1*4)

DELTA = 1153/4

DELTA > 0

x = ((1153/4)^(1/2)+1/2)/(1*2) or x = (1/2-(1153/4)^(1/2))/(1*2)

x = ((1153/4)^(1/2)+1/2)/2 or x = (1/2-(1153/4)^(1/2))/2

x in { (1/2-(1153/4)^(1/2))/2, ((1153/4)^(1/2)+1/2)/2 }

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