2/x-1+x=4

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Solution for 2/x-1+x=4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+2/x-1 = 4 // - 4

x+2/x-4-1 = 0

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

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

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

x^1

x^2-5*x+2 = 0

x^2-5*x+2 = 0

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

DELTA = 17

DELTA > 0

x = (17^(1/2)+5)/(1*2) or x = (5-17^(1/2))/(1*2)

x = (17^(1/2)+5)/2 or x = (5-17^(1/2))/2

x in { (5-17^(1/2))/2, (17^(1/2)+5)/2} 

x in { (5-17^(1/2))/2, (17^(1/2)+5)/2 }

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