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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 20

DELTA > 0

x = (20^(1/2)-2)/(-2*2) or x = (-20^(1/2)-2)/(-2*2)

x = (2*5^(1/2)-2)/(-4) or x = (-2*5^(1/2)-2)/(-4)

x in { (2*5^(1/2)-2)/(-4), (-2*5^(1/2)-2)/(-4)} 

x in { (2*5^(1/2)-2)/(-4), (-2*5^(1/2)-2)/(-4) }

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