x^2-3=x/2-3/2

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Solution for x^2-3=x/2-3/2 equation: 


x in (-oo:+oo)

x^2-3 = x/2-(3/2) // - x/2-(3/2)

x^2-(x/2)+3/2-3 = 0

x^2-1/2*x-3/2 = 0

DELTA = (-1/2)^2-(-3/2*1*4)

DELTA = 25/4

DELTA > 0

x = ((25/4)^(1/2)+1/2)/(1*2) or x = (1/2-(25/4)^(1/2))/(1*2)

x = 3/2 or x = -1

x in { -1, 3/2 }

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