1/2n^2+1/2n=78

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Solution for 1/2n^2+1/2n=78 equation: 


n in (-oo:+oo)

(1/2)*n^2+(1/2)*n = 78 // - 78

(1/2)*n^2+(1/2)*n-78 = 0

1/2*n^2+1/2*n-78 = 0

DELTA = (1/2)^2-(-78*1/2*4)

DELTA = 625/4

DELTA > 0

n = ((625/4)^(1/2)-1/2)/(1/2*2) or n = (-(625/4)^(1/2)-1/2)/(1/2*2)

n = 12 or n = -13

n in { -13, 12 }

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