9/n=8n+23

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Solution for 9/n=8n+23 equation:


D( n )

n = 0

n = 0

n = 0

n in (-oo:0) U (0:+oo)

9/n = 8*n+23 // - 8*n+23

9/n-(8*n)-23 = 0

9/n-8*n-23 = 0

9*n^-1-8*n^1-23*n^0 = 0

(9*n^0-8*n^2-23*n^1)/(n^1) = 0 // * n^2

n^1*(9*n^0-8*n^2-23*n^1) = 0

n^1

9-8*n^2-23*n = 0

9-8*n^2-23*n = 0

DELTA = (-23)^2-(-8*4*9)

DELTA = 817

DELTA > 0

n = (817^(1/2)+23)/(-8*2) or n = (23-817^(1/2))/(-8*2)

n = (817^(1/2)+23)/(-16) or n = (23-817^(1/2))/(-16)

n in { (817^(1/2)+23)/(-16), (23-817^(1/2))/(-16)}

n in { (817^(1/2)+23)/(-16), (23-817^(1/2))/(-16) }

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