# How do you solve #7/(x+5)+3/(x-5)=30/(x^2-25)# and check for extraneous solutions?

##### 2 Answers

Feb 17, 2017

I got that it has no real solutions and only one extraneous.

#### Explanation:

Have a look:

Feb 17, 2017

Note that

#### Explanation:

First we assert that

After that, we we multiply the first two terms by disguised

Together this adds up to:

And this is contrary to our first assertion.

Conclusion: there is no solution.