1/x+1/(x+2)=1/3

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Solution for 1/x+1/(x+2)=1/3 equation: 


D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

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

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

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

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

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

6*x-x^2-2*x+6 = 0

4*x-x^2+6 = 0

4*x-x^2+6 = 0

4*x-x^2+6 = 0

DELTA = 4^2-(-1*4*6)

DELTA = 40

DELTA > 0

x = (40^(1/2)-4)/(-1*2) or x = (-40^(1/2)-4)/(-1*2)

x = (2*10^(1/2)-4)/(-2) or x = (-2*10^(1/2)-4)/(-2)

(x-((2*10^(1/2)-4)/(-2)))*(x-((-2*10^(1/2)-4)/(-2))) = 0

((x-((2*10^(1/2)-4)/(-2)))*(x-((-2*10^(1/2)-4)/(-2))))/(3*x*(x+2)) = 0

((x-((2*10^(1/2)-4)/(-2)))*(x-((-2*10^(1/2)-4)/(-2))))/(3*x*(x+2)) = 0 // * 3*x*(x+2)

(x-((2*10^(1/2)-4)/(-2)))*(x-((-2*10^(1/2)-4)/(-2))) = 0

( x-((-2*10^(1/2)-4)/(-2)) )

x-((-2*10^(1/2)-4)/(-2)) = 0 // + (-2*10^(1/2)-4)/(-2)

x = (-2*10^(1/2)-4)/(-2)

( x-((2*10^(1/2)-4)/(-2)) )

x-((2*10^(1/2)-4)/(-2)) = 0 // + (2*10^(1/2)-4)/(-2)

x = (2*10^(1/2)-4)/(-2)

x in { (-2*10^(1/2)-4)/(-2), (2*10^(1/2)-4)/(-2) }

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