Question

write the partial fraction decomposition of the rational expression please.
x/(x-5)(x-6)

Thank you!

Answer 1

\(\dfrac{A}{x-5} + \dfrac{B}{x-6}\)

Go!

Answer 2

so would the answer? be A/x+6+B/x+5

Answer 3

No, two things wrong with that.

1) You have written \(\dfrac{A}{x} + 6 + \dfrac{B}{x} + 5\). That is absolutely not what I wrote. Please remember your order of operations and use parentheses where necessary.

2) You must find the values for A and B.

Answer 4

sorry I meant to write A/(x+6) + B/(x+5). I am confused on how to go on to solve for A or B. I think I confused myself with all the videos I was watching.

Answer 5

No worries. Writing in-line is a bit of an adjustment. It takes more parentheses.

You have two fractions. Add them - common denominator and that sort of thing.

Answer 6

So x=A(x+6)+B(x+5)?

Answer 7

How did we get "+" instead if "-"?

Other than that, yes.

Answer 8

your right. I have it on my paper as - but for some reason I copied it as + on here. So B turns out to be -5 and x turns out to be -6?