x+9/2=2x^2

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Solution for x+9/2=2x^2 equation: 


x in (-oo:+oo)

x+9/2 = 2*x^2 // - 2*x^2

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

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

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

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

DELTA = 37

DELTA > 0

x = (37^(1/2)-1)/(-2*2) or x = (-37^(1/2)-1)/(-2*2)

x = (37^(1/2)-1)/(-4) or x = (37^(1/2)+1)/4

x in { (37^(1/2)-1)/(-4), (37^(1/2)+1)/4 }

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