(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-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

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

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

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

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

x^2-3*x+2 = 0

x^2-3*x+2 = 0

x^2-3*x+2 = 0

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

DELTA = 1

DELTA > 0

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

x = 2 or x = 1

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

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

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

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

( x-1 )

x-1 = 0 // + 1

x = 1

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2} 

x = 1

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