Question

What is the solution to the rational equation
x/x^2-9 - 1/x-3= 1/4x-12?

Answer 1

x/x^2-9 + 1/x-3 = 1/4x-12
x/(x+3)(x-3)+1/(x-3)=1/4(x-3)


LCD: 4(x+3)(x-3)
4x+4(x+3)=(x+3)
4x+4x+12=x+3
7x=-9
x=-9/7

Answer 2

Thanks

Answer 3

welcome!

Answer 4

What is the simplified form of

Answer 5

(x^2+5x+6/15xy^2)/(2x^2+7x+3/5x^2y)?

Answer 6

I get something differently for x.

Answer 7

For the original problem posted.

Answer 8

What did you get?

Answer 9

oops copied the problem wrong

Answer 10

I'm going to post my full solution because my steps are a bit different.

Answer 11

thanks

Answer 12

I'm using safari

Answer 13

1. Make sure the denominators are factored:

\(\large\frac{x}{(x+3)(x-3)} - \frac{1}{x-3} = \frac{1}{4(x-3)}\)

2. Multiply each fraction by (x-3) to get:
\(\large\frac{x}{x+3} - 1 = \frac{1}{4}\)

3. Rewrite 1 as (x+3)/(x+3):
\(\large\frac{x}{x+3} - \frac{x+3}{x+3} = \frac{1}{4}\)

4. Combine fractions on the left side to get:
\(-\frac{3}{x+3}=\frac{1}{4}\)

5. Cross Multiply to get:
\(-12 = x+3\)

6. Subtract 3 from both sides to get:
\(-15 = x\)

Answer 14

That will look messy if you're using anything other than Safari.

Answer 15

thanks, and can you help me solve the second problem I posted

Answer 16

Notice I didn't use LCDs to solve that.

Answer 17

I see what I did wrong, I must have messed up somewhere in the middle of the problem

Answer 18

What is the simplified form of (x^2+5x+6/15xy^2)/(2x^2+7x+3/5x^2y)?

Answer 19

You should probably post that as a separate question.

Answer 20

ok

Answer 21

Thanks.