11/6=n+1/n-7

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Solution for 11/6=n+1/n-7 equation: 


D( n )

n = 0

n = 0

n = 0

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

11/6 = n+1/n-7 // - n+1/n-7

11/6-n-(1/n)+7 = 0

11/6-n-n^-1+7 = 0

53/6*n^0-1*n^1-1*n^-1 = 0

(53/6*n^1-1*n^2-1*n^0)/(n^1) = 0 // * n^2

n^1*(53/6*n^1-1*n^2-1*n^0) = 0

n^1

(53/6)*n-n^2-1 = 0

(53/6)*n-n^2-1 = 0

DELTA = (53/6)^2-(-1*(-1)*4)

DELTA = 2665/36

DELTA > 0

n = ((2665/36)^(1/2)-(53/6))/(-1*2) or n = (-(53/6)-(2665/36)^(1/2))/(-1*2)

n = ((2665/36)^(1/2)-53/6)/(-2) or n = ((2665/36)^(1/2)+53/6)/2

n in { ((2665/36)^(1/2)-53/6)/(-2), ((2665/36)^(1/2)+53/6)/2} 

n in { ((2665/36)^(1/2)-53/6)/(-2), ((2665/36)^(1/2)+53/6)/2 }

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