Question

1/z^2-7z+6 - 1/z-1 = 1/2z-12

Answer 1

It said the answer was 5 so I have no idea how they go to that conclusion

Answer 2

\[
\frac{1}{z^2-7z+6}=\frac{1}{(z-1)(z-6)}
\]

Answer 3

Try multiplying both sides by \[
(z-1)(z-6)
\]

Answer 4

If I do that (z-1)(z-6) should cancel leaving only 1?

Answer 5

Yeah.

Answer 6

Just try it.

Answer 7

With these equations, you want to get rid of the fractions.

Answer 8

I keep on coming too 1-1z+6=1z-1

Answer 9

\[
1-(z-6)=\frac 12(z-1)
\]

Answer 10

Now solve for \(z\).