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

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Solution for 1/(x-2)-1/(x^2-4) equation: 


D( x )

x-2 = 0

x^2-4 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x^2-4 = 0

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

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

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

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

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

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

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

x^2-x-2 = 0

x^2-x-2 = 0

x^2-x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)

x = 2 or x = -1

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

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

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

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

( x+1 )

x+1 = 0 // - 1

x = -1

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2} 

x = -1

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