16/n=n/9

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Solution for 16/n=n/9 equation: 


D( n )

n = 0

n = 0

n = 0

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

16/n = n/9 // - n/9

16/n-(n/9) = 0

16*n^-1-1/9*n^1 = 0

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

n^1*(16*n^0-1/9*n^2) = 0

n^1

(-1/9)*n^2+16 = 0

(-1/9)*n^2+16 = 0

DELTA = 0^2-(4*16*(-1/9))

DELTA = 64/9

DELTA > 0

n = ((64/9)^(1/2)+0)/(2*(-1/9)) or n = (0-(64/9)^(1/2))/(2*(-1/9))

n = -12 or n = 12

n in { -12, 12} 

n in { -12, 12 }

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