9n-n^2/2=10

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Solution for 9n-n^2/2=10 equation: 


n in (-oo:+oo)

9*n-((n^2)/2) = 10 // - 10

9*n-((n^2)/2)-10 = 0

9*n-1/2*n^2-10 = 0

DELTA = 9^2-(-10*(-1/2)*4)

DELTA = 61

DELTA > 0

n = (61^(1/2)-9)/(-1/2*2) or n = (-61^(1/2)-9)/(-1/2*2)

n = 9-61^(1/2) or n = 61^(1/2)+9

n in { 9-61^(1/2), 61^(1/2)+9 }

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