3/2x^2-3/4x=1/2

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Solution for 3/2x^2-3/4x=1/2 equation: 


x in (-oo:+oo)

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

(3/2)*x^2-((3/4)*x)-(1/2) = 0

(3/2)*x^2+(-3/4)*x-1/2 = 0

3/2*x^2-3/4*x-1/2 = 0

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

DELTA = 57/16

DELTA > 0

x = ((57/16)^(1/2)+3/4)/(3/2*2) or x = (3/4-(57/16)^(1/2))/(3/2*2)

x = ((57/16)^(1/2)+3/4)/3 or x = (3/4-(57/16)^(1/2))/3

x in { (3/4-(57/16)^(1/2))/3, ((57/16)^(1/2)+3/4)/3 }

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