(1/x)+(1/(x+2))=(1/6)

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Solution for (1/x)+(1/(x+2))=(1/6) 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 = 1/6 // - 1/6

1/(x+2)+1/x-(1/6) = 0

1/(x+2)+1/x-1/6 = 0

(1*6*x)/(6*x*(x+2))+(1*6*(x+2))/(6*x*(x+2))+(-1*x*(x+2))/(6*x*(x+2)) = 0

1*6*(x+2)-1*x*(x+2)+1*6*x = 0

12*x-x^2-2*x+12 = 0

10*x-x^2+12 = 0

10*x-x^2+12 = 0

10*x-x^2+12 = 0

DELTA = 10^2-(-1*4*12)

DELTA = 148

DELTA > 0

x = (148^(1/2)-10)/(-1*2) or x = (-148^(1/2)-10)/(-1*2)

x = (2*37^(1/2)-10)/(-2) or x = (-2*37^(1/2)-10)/(-2)

(x-((2*37^(1/2)-10)/(-2)))*(x-((-2*37^(1/2)-10)/(-2))) = 0

((x-((2*37^(1/2)-10)/(-2)))*(x-((-2*37^(1/2)-10)/(-2))))/(6*x*(x+2)) = 0

((x-((2*37^(1/2)-10)/(-2)))*(x-((-2*37^(1/2)-10)/(-2))))/(6*x*(x+2)) = 0 // * 6*x*(x+2)

(x-((2*37^(1/2)-10)/(-2)))*(x-((-2*37^(1/2)-10)/(-2))) = 0

( x-((-2*37^(1/2)-10)/(-2)) )

x-((-2*37^(1/2)-10)/(-2)) = 0 // + (-2*37^(1/2)-10)/(-2)

x = (-2*37^(1/2)-10)/(-2)

( x-((2*37^(1/2)-10)/(-2)) )

x-((2*37^(1/2)-10)/(-2)) = 0 // + (2*37^(1/2)-10)/(-2)

x = (2*37^(1/2)-10)/(-2)

x in { (-2*37^(1/2)-10)/(-2), (2*37^(1/2)-10)/(-2) }

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