5n-8/n-12

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Solution for 5n-8/n-12 equation: 


D( n )

n = 0

n = 0

n = 0

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

5*n-(8/n)-12 = 0

5*n-8*n^-1-12 = 0

5*n^1-8*n^-1-12*n^0 = 0

(5*n^2-12*n^1-8*n^0)/(n^1) = 0 // * n^2

n^1*(5*n^2-12*n^1-8*n^0) = 0

n^1

5*n^2-12*n-8 = 0

5*n^2-12*n-8 = 0

DELTA = (-12)^2-(-8*4*5)

DELTA = 304

DELTA > 0

n = (304^(1/2)+12)/(2*5) or n = (12-304^(1/2))/(2*5)

n = (4*19^(1/2)+12)/10 or n = (12-4*19^(1/2))/10

n in { (12-4*19^(1/2))/10, (4*19^(1/2)+12)/10} 

n in { (12-4*19^(1/2))/10, (4*19^(1/2)+12)/10 }

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