I thought I got the whole concept but when I came across these problems, my answer came no where near that of the correct answer.

1)

2)

I need to solve for "x". Help?

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- Jul 6th 2008, 11:27 AMHypertensionsolving rational equations
I thought I got the whole concept but when I came across these problems, my answer came no where near that of the correct answer.

1)

2)

I need to solve for "x". Help? - Jul 6th 2008, 11:32 AMgalactusQuote:

1)

Multiply through by x-3

Then we get

Now, it's easy to solve, huh?. Remember to check your solutions by plugging them back in. This one will give two solutions, but only one may be good. - Jul 6th 2008, 11:44 AMHypertension
Thanks.

That's about how far I get and then I start running into trouble.

After simplifying this:

I get this:

=

=

Am I doing it wrong? :( - Jul 6th 2008, 11:52 AMSimplicity
No, that is correct but the method is incomplete. You must continue.

Notice, you have which is .

You can solve by factorising into 2 brackets and then equating each bracket to 0. Hence finding two values for . If one of the solution give the denominator to equal 0 then reject this solution.

**EDIT:**If are struggling to factorise, and when the quadratic equation is in the form then you can use the quadratic formula which is . - Jul 6th 2008, 12:25 PMHypertension
Ok, I've got it now.

x=6 or x=3

But in this case x would equal 6 because when you plug in the 3 for x you get 3 equaling zero as the answer. I just didn't expect to have have to factor, since I haven't had a problem involving that yet.

And for problem two, I got

x=-3

Thank you guys