5n=2/n-9

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Solution for 5n=2/n-9 equation: 


D( n )

n = 0

n = 0

n = 0

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

5*n = 2/n-9 // - 2/n-9

5*n-(2/n)+9 = 0

5*n-2*n^-1+9 = 0

5*n^1-2*n^-1+9*n^0 = 0

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

n^1*(5*n^2+9*n^1-2*n^0) = 0

n^1

5*n^2+9*n-2 = 0

5*n^2+9*n-2 = 0

DELTA = 9^2-(-2*4*5)

DELTA = 121

DELTA > 0

n = (121^(1/2)-9)/(2*5) or n = (-121^(1/2)-9)/(2*5)

n = 1/5 or n = -2

n in { -2, 1/5} 

n in { -2, 1/5 }

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