Solve each equation

Question

X/x-3 + x/x+3 = 2/x^2-9

Answer 1

x^2 +3x + x^2 -3x = 2

2x^2 =2

x^2 = 1

x = +1 or -1

x/(x-3) + x/(x+3) = 2/(x^2 -9)

1/-2 +1/4 = 2/-8

-1/4=-1/4

try x=-1

-1/-4 +1/2 = 2/-8

3/4 doesn't = -1/4

when multiplying by a term with a variable, you may introduce an extraneous solution, a solution not in the original equation