3x+2/x-2=4x-1/x-2

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Solution for 3x+2/x-2=4x-1/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+2/x-2 = 4*x-(1/x)-2 // - 4*x-(1/x)-2

3*x-(4*x)+2/x+1/x-2+2 = 0

3*x-4*x+2/x+1/x-2+2 = 0

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

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

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

x^1

3-x^2 = 0

3-x^2 = 0

DELTA = 0^2-(-1*3*4)

DELTA = 12

DELTA > 0

x = (12^(1/2)+0)/(-1*2) or x = (0-12^(1/2))/(-1*2)

x = -3^(1/2) or x = 3^(1/2)

x in { -3^(1/2), 3^(1/2)} 

x in { -3^(1/2), 3^(1/2) }

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