5x-3/x-1=4

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Solution for 5x-3/x-1=4 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x-(3/x)-1 = 4 // - 4

5*x-(3/x)-4-1 = 0

5*x-3*x^-1-4-1 = 0

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

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

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

x^1

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

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

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

DELTA = 85

DELTA > 0

x = (85^(1/2)+5)/(2*5) or x = (5-85^(1/2))/(2*5)

x = (85^(1/2)+5)/10 or x = (5-85^(1/2))/10

x in { (5-85^(1/2))/10, (85^(1/2)+5)/10} 

x in { (5-85^(1/2))/10, (85^(1/2)+5)/10 }

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