n-6/n-7=9/2

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Solution for n-6/n-7=9/2 equation: 


D( n )

n = 0

n = 0

n = 0

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

n-(6/n)-7 = 9/2 // - 9/2

n-(6/n)-(9/2)-7 = 0

n-6*n^-1-9/2-7 = 0

1*n^1-6*n^-1-23/2*n^0 = 0

(1*n^2-23/2*n^1-6*n^0)/(n^1) = 0 // * n^2

n^1*(1*n^2-23/2*n^1-6*n^0) = 0

n^1

n^2+(-23/2)*n-6 = 0

n^2+(-23/2)*n-6 = 0

DELTA = (-23/2)^2-(-6*1*4)

DELTA = 625/4

DELTA > 0

n = ((625/4)^(1/2)-(-23/2))/(1*2) or n = (-(-23/2)-(625/4)^(1/2))/(1*2)

n = 12 or n = -1/2

n in { -1/2, 12} 

n in { -1/2, 12 }

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