x^2+x=11/2

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Solution for x^2+x=11/2 equation:


x in (-oo:+oo)

x^2+x = 11/2 // - 11/2

x^2+x-(11/2) = 0

x^2+x-11/2 = 0

x^2+x-11/2 = 0

DELTA = 1^2-(-11/2*1*4)

DELTA = 23

DELTA > 0

x = (23^(1/2)-1)/(1*2) or x = (-23^(1/2)-1)/(1*2)

x = (23^(1/2)-1)/2 or x = (-(23^(1/2)+1))/2

x in { (-(23^(1/2)+1))/2, (23^(1/2)-1)/2 }

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