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# partial fractions - help needed Watch

1. Here is the question I am doing:

Here are my calculations so far:

I know I am going wrong somewhere but I don't know where. When solving the last two equations (shown) simultaneously I am getting different answers for C.

Any help on this is hugely appreciated thank you!
2. (Original post by Kaya_01)
Here is the question I am doing:

Here are my calculations so far:

I know I am going wrong somewhere but I don't know where. When solving the last two equations (shown) simultaneously I am getting different answers for C.

Any help on this is hugely appreciated thank you!
Because is a quadratic factor, it needs a numerator like Bs + C. If you think about it, there's no point in having one term with numerator B and another with numerator C over the same factor, because you could just combine them into one constant D = B + C
3. (Original post by Kaya_01)
Here is the question I am doing:

Here are my calculations so far:

I know I am going wrong somewhere but I don't know where. When solving the last two equations (shown) simultaneously I am getting different answers for C.

Any help on this is hugely appreciated thank you!
Just split the first term into two separate fractions.
which should give you Then separate the into you should then be able to see how to get the required result.
4. (Original post by davros)
Because is a quadratic factor, it needs a numerator like Bs + C. If you think about it, there's no point in having one term with numerator B and another with numerator C over the same factor, because you could just combine them into one constant D = B + C

would I then equate it to A/s^2 + Bs+c/(s^2+1) ? What about the third denominator and what about the LHS?

thank you
5. (Original post by Kaya_01)
would I then equate it to A/s^2 + Bs+c/(s^2+1) ? What about the third denominator and what about the LHS?

thank you
The only term which requires partial fractions is the:
So let:

The in the LHS can be accounted for after your partial fractions.
6. (Original post by Kaya_01)
would I then equate it to A/s^2 + Bs+c/(s^2+1) ? What about the third denominator and what about the LHS?

thank you
There isn't a "third" denominator - if you look at what they've done, they've just split out the bit over (s^2 + 1) into 2 separate fractions!

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