5x+5/x-1=10

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Solution for 5x+5/x-1=10 equation: 


D( x )

x = 0

x = 0

x = 0

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

5*x+5/x-1 = 10 // - 10

5*x+5/x-10-1 = 0

5*x^1+5*x^-1-11*x^0 = 0

(5*x^2-11*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-11*x^1+5*x^0) = 0

x^1

5*x^2-11*x+5 = 0

5*x^2-11*x+5 = 0

DELTA = (-11)^2-(4*5*5)

DELTA = 21

DELTA > 0

x = (21^(1/2)+11)/(2*5) or x = (11-21^(1/2))/(2*5)

x = (21^(1/2)+11)/10 or x = (11-21^(1/2))/10

x in { (11-21^(1/2))/10, (21^(1/2)+11)/10} 

x in { (11-21^(1/2))/10, (21^(1/2)+11)/10 }

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