x-3+5x-3/x-2

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Solution for x-3+5x-3/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+5*x-(3/x)-3-2 = 0

x+5*x-3*x^-1-3-2 = 0

6*x^1-3*x^-1-5*x^0 = 0

(6*x^2-5*x^1-3*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-5*x^1-3*x^0) = 0

x^1

6*x^2-5*x-3 = 0

6*x^2-5*x-3 = 0

DELTA = (-5)^2-(-3*4*6)

DELTA = 97

DELTA > 0

x = (97^(1/2)+5)/(2*6) or x = (5-97^(1/2))/(2*6)

x = (97^(1/2)+5)/12 or x = (5-97^(1/2))/12

x in { (5-97^(1/2))/12, (97^(1/2)+5)/12} 

x in { (5-97^(1/2))/12, (97^(1/2)+5)/12 }

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