2x^2+x=1/2

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Solution for 2x^2+x=1/2 equation: 


x in (-oo:+oo)

2*x^2+x = 1/2 // - 1/2

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

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

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

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

DELTA = 5

DELTA > 0

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

x = (5^(1/2)-1)/4 or x = (-(5^(1/2)+1))/4

x in { (-(5^(1/2)+1))/4, (5^(1/2)-1)/4 }

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