(x+1)/(x+2)=2x/(x-2)

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Solution for (x+1)/(x+2)=2x/(x-2) equation: 


D( x )

x-2 = 0

x+2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

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

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

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

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

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

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

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

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

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

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

x^2+5*x+2 = 0

DELTA = 5^2-(1*2*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

-1*(x+(17^(1/2)+5)/2)*(x-((17^(1/2)-5)/2)) = 0

(-1*(x+(17^(1/2)+5)/2)*(x-((17^(1/2)-5)/2)))/((x+2)*(x-2)) = 0

(-1*(x+(17^(1/2)+5)/2)*(x-((17^(1/2)-5)/2)))/((x+2)*(x-2)) = 0 // * (x+2)*(x-2)

-1*(x+(17^(1/2)+5)/2)*(x-((17^(1/2)-5)/2)) = 0

( x+(17^(1/2)+5)/2 )

x+(17^(1/2)+5)/2 = 0 // - (17^(1/2)+5)/2

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

( x-((17^(1/2)-5)/2) )

x-((17^(1/2)-5)/2) = 0 // + (17^(1/2)-5)/2

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

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

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