x^2-3x=9/2

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Solution for x^2-3x=9/2 equation: 


x in (-oo:+oo)

x^2-(3*x) = 9/2 // - 9/2

x^2-(3*x)-(9/2) = 0

x^2-3*x-9/2 = 0

x^2-3*x-9/2 = 0

DELTA = (-3)^2-(-9/2*1*4)

DELTA = 27

DELTA > 0

x = (27^(1/2)+3)/(1*2) or x = (3-27^(1/2))/(1*2)

x = (3*3^(1/2)+3)/2 or x = (3-3*3^(1/2))/2

x in { (3-3*3^(1/2))/2, (3*3^(1/2)+3)/2 }

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