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

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


D( x )

x = 0

x = 0

x = 0

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

x^2+2/x-2 = (3*x)/x-2 // - (3*x)/x-2

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

x^2+2/x-3-2+2 = 0

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

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

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

x^1

x^3-3*x+2 = 0

{ 1, -1, 2, -2 }

1

x = 1

x^3-3*x+2 = 0

1

x-1

x^2+x-2

x^3-3*x+2

x-1

x^2-x^3

x^2-3*x+2

x-x^2

2-2*x

2*x-2

0

x^2+x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)-1)/(1*2) or x = (-9^(1/2)-1)/(1*2)

x = 1 or x = -2

x in { -2, 1, 1} 

x in { -2, 1, 1 }

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