9/2=n-9/n

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


D( n )

n = 0

n = 0

n = 0

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

9/2 = n-(9/n) // - n-(9/n)

9/n-n+9/2 = 0

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

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

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

n^1

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

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

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

DELTA = 225/4

DELTA > 0

n = ((225/4)^(1/2)-(9/2))/(-1*2) or n = (-(9/2)-(225/4)^(1/2))/(-1*2)

n = -3/2 or n = 6

n in { -3/2, 6} 

n in { -3/2, 6 }

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