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

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Solution for 1/(x-2)+(1/2)=(2/x+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:0) U (0:2) U (2:+oo)

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

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

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

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

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

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

x^2-4*x^2-2*x-2*x+8*x+8 = 0

x^2-4*x^2-4*x+8*x+8 = 0

4*x-3*x^2+8 = 0

4*x-3*x^2+8 = 0

4*x-3*x^2+8 = 0

DELTA = 4^2-(-3*4*8)

DELTA = 112

DELTA > 0

x = (112^(1/2)-4)/(-3*2) or x = (-112^(1/2)-4)/(-3*2)

x = (4*7^(1/2)-4)/(-6) or x = (-4*7^(1/2)-4)/(-6)

(x-((4*7^(1/2)-4)/(-6)))*(x-((-4*7^(1/2)-4)/(-6))) = 0

((x-((4*7^(1/2)-4)/(-6)))*(x-((-4*7^(1/2)-4)/(-6))))/(2*x*(x-2)) = 0

((x-((4*7^(1/2)-4)/(-6)))*(x-((-4*7^(1/2)-4)/(-6))))/(2*x*(x-2)) = 0 // * 2*x*(x-2)

(x-((4*7^(1/2)-4)/(-6)))*(x-((-4*7^(1/2)-4)/(-6))) = 0

( x-((-4*7^(1/2)-4)/(-6)) )

x-((-4*7^(1/2)-4)/(-6)) = 0 // + (-4*7^(1/2)-4)/(-6)

x = (-4*7^(1/2)-4)/(-6)

( x-((4*7^(1/2)-4)/(-6)) )

x-((4*7^(1/2)-4)/(-6)) = 0 // + (4*7^(1/2)-4)/(-6)

x = (4*7^(1/2)-4)/(-6)

x in { (-4*7^(1/2)-4)/(-6), (4*7^(1/2)-4)/(-6) }

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