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

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

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

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

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

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

4*x-x^2-2*x+4 = 0

2*x-x^2+4 = 0

2*x-x^2+4 = 0

2*x-x^2+4 = 0

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

DELTA = 20

DELTA > 0

x = (20^(1/2)-2)/(-1*2) or x = (-20^(1/2)-2)/(-1*2)

x = (2*5^(1/2)-2)/(-2) or x = (-2*5^(1/2)-2)/(-2)

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

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

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

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

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

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

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

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

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

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

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

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