3n-18/n-6

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Solution for 3n-18/n-6 equation: 


D( n )

n = 0

n = 0

n = 0

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

3*n-(18/n)-6 = 0

3*n-18*n^-1-6 = 0

3*n^1-18*n^-1-6*n^0 = 0

(3*n^2-6*n^1-18*n^0)/(n^1) = 0 // * n^2

n^1*(3*n^2-6*n^1-18*n^0) = 0

n^1

3*n^2-6*n-18 = 0

3*n^2-6*n-18 = 0

DELTA = (-6)^2-(-18*3*4)

DELTA = 252

DELTA > 0

n = (252^(1/2)+6)/(2*3) or n = (6-252^(1/2))/(2*3)

n = (6*7^(1/2)+6)/6 or n = (6-6*7^(1/2))/6

n in { (6-6*7^(1/2))/6, (6*7^(1/2)+6)/6} 

n in { (6-6*7^(1/2))/6, (6*7^(1/2)+6)/6 }

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