## anonymous one year ago **Medal/Fan** Solve for x and determine if the solution is extraneous or not.

1. anonymous

|dw:1437060127262:dw|

2. anonymous

@pooja195 @SolomonZelman

3. anonymous

:) I got 5, and non-extraneous

4. anonymous

You got the x=5 part right, but to tell whether or not a solution is extraneous or not, you plug it back in and see what you get. What happens when you plug in x=5?

5. anonymous

I get 0

6. anonymous

Well, specifically, look at the denominators. Work with the left side first. $$\frac{5}{x-5}$$. When you plug in x=5 here, what is in the denominator?

7. anonymous

5/5-5=5/0=undefi.

8. anonymous

Yup. Since you got 0 in the denominator, when x=5, the equation is undefined. Therefore, the solution doesn't work, and it is extraneous.

9. anonymous

Okay:) Thanks!

10. anonymous

np :)