n2-n-90=1/3

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Solution for n2-n-90=1/3 equation:


n in (-oo:+oo)

n^2-n-90 = 1/3 // - 1/3

n^2-n-(1/3)-90 = 0

n^2-n-1/3-90 = 0

n^2-n-271/3 = 0

DELTA = (-1)^2-(-271/3*1*4)

DELTA = 1087/3

DELTA > 0

n = ((1087/3)^(1/2)+1)/(1*2) or n = (1-(1087/3)^(1/2))/(1*2)

n = ((1087/3)^(1/2)+1)/2 or n = (1-(1087/3)^(1/2))/2

n in { (1-(1087/3)^(1/2))/2, ((1087/3)^(1/2)+1)/2 }

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