Solve the equation and check for extraneous solutions. 3/x+2-2/x^2-4=1/x-2

Answer 1

Do you mean this??:

3/x + 2 - 2/x^2 - 4 = 1/x - 2

If not, then there are some parentheses missing. Otherwise...

First, multiply everything by x^2, giving this:

3x + 2x^2 - 2 - 4x^2 = x - 2x^2

Collect like terms and simplify:

2x = 2

x = 1

I'm not sure what is meant by extraneous solutions