(x^2/2)+x=3/4

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Solution for (x^2/2)+x=3/4 equation: 


x in (-oo:+oo)

(x^2)/2+x = 3/4 // - 3/4

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

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

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

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

DELTA = 5/2

DELTA > 0

x = ((5/2)^(1/2)-1)/(1/2*2) or x = (-(5/2)^(1/2)-1)/(1/2*2)

x = (5/2)^(1/2)-1 or x = -((5/2)^(1/2)+1)

x in { -((5/2)^(1/2)+1), (5/2)^(1/2)-1 }

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