2=x+2/x-3

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


D( x )

x = 0

x = 0

x = 0

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

2 = x+2/x-3 // - x+2/x-3

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

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

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

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

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

x^1

5*x-x^2-2 = 0

5*x-x^2-2 = 0

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

DELTA = 17

DELTA > 0

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

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

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

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

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