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.
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.