n^2-n/2=36

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Solution for n^2-n/2=36 equation: 


n in (-oo:+oo)

n^2-(n/2) = 36 // - 36

n^2-(n/2)-36 = 0

n^2-1/2*n-36 = 0

DELTA = (-1/2)^2-(-36*1*4)

DELTA = 577/4

DELTA > 0

n = ((577/4)^(1/2)+1/2)/(1*2) or n = (1/2-(577/4)^(1/2))/(1*2)

n = ((577/4)^(1/2)+1/2)/2 or n = (1/2-(577/4)^(1/2))/2

n in { (1/2-(577/4)^(1/2))/2, ((577/4)^(1/2)+1/2)/2 }

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