3x-8/x-1

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Solution for 3x-8/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(8/x)-1 = 0

3*x-8*x^-1-1 = 0

3*x^1-8*x^-1-1*x^0 = 0

(3*x^2-1*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-1*x^1-8*x^0) = 0

x^1

3*x^2-x-8 = 0

3*x^2-x-8 = 0

DELTA = (-1)^2-(-8*3*4)

DELTA = 97

DELTA > 0

x = (97^(1/2)+1)/(2*3) or x = (1-97^(1/2))/(2*3)

x = (97^(1/2)+1)/6 or x = (1-97^(1/2))/6

x in { (1-97^(1/2))/6, (97^(1/2)+1)/6} 

x in { (1-97^(1/2))/6, (97^(1/2)+1)/6 }

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