Question

Solve the fractional equation:
1/(x+2) - 1/(x-2) = 4/3

Answer 1

((x-2)-(x+2))/(x^2-4)=4/3
-4/(x^2-4)=4/3
cancelling 4 on both sides and taking reciprocal on both sides
-(x^2-4)=3
-x^2+4=3
-x^2=-1
x^2=1
x=1 or x=-1