5x-5/x-1=0

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Solution for 5x-5/x-1=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

5*x^2-x-5 = 0

5*x^2-x-5 = 0

DELTA = (-1)^2-(-5*4*5)

DELTA = 101

DELTA > 0

x = (101^(1/2)+1)/(2*5) or x = (1-101^(1/2))/(2*5)

x = (101^(1/2)+1)/10 or x = (1-101^(1/2))/10

x in { (1-101^(1/2))/10, (101^(1/2)+1)/10} 

x in { (1-101^(1/2))/10, (101^(1/2)+1)/10 }

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