I'm having such a hard time solving the problem below

5-x

_____

2xsquared + x -1

Can you help point me in the right direction?

Thank you very much.

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- Jul 20th 2010, 12:47 PMMrsPaivapartial-fraction-decomp question
I'm having such a hard time solving the problem below

5-x

_____

2xsquared + x -1

Can you help point me in the right direction?

Thank you very much. - Jul 20th 2010, 01:15 PMskeeter
- Jul 20th 2010, 03:19 PMMrsPaiva
Hi thanks for helping.

You multiplied by the LCD? - Jul 20th 2010, 03:32 PMskeeter
- Jul 20th 2010, 04:10 PMMrsPaiva
So from here applied the distributive property and came up w/

5-X = AX + 1A +2BX -1B

Good so far? - Jul 20th 2010, 04:29 PMskeeter
- Jul 20th 2010, 04:43 PMMrsPaiva
My instructor wants us to show our work.

Thanks again - Jul 20th 2010, 06:32 PMeumyang
You can still show work using skeeter's method. This is what he was getting at:

Choose a value of x such that the A is eliminated. So let x = -1:

$\displaystyle \begin{aligned}

5 + 1 &= A(-1 + 1) + B(2(-1) - 1) \\

6 &= A(0) + B(-3) \\

6 &= -3B \\

B &= -2

\end{aligned}$

See what happens? You'll just have one variable B, that you can solve for it easily.

Now choose a value of x so that B is eliminated. - Jul 20th 2010, 06:39 PMMrsPaiva
I see what you mean now. (Doh) Okay, I misunderstood. I'll work out the problem and post my answer