The question simply ask to write the partial fraction decomposition of the rational expression.
(x^2) / (x^4 - 2x^2 - 8)
I wrote it out as:
(A / (x-2)) + (B / (x+2)) + ((Cx+D) / (x^2+2))
I got as far as simplifying it as:
So I group them up as:
Now I'm lost in using the elimination method because I just don't see how to peace together this puzzle, and the use the answer to complete the partial fraction decomposition. OMG I need some assistance please, this problem is driving me mad...
Originally Posted by ugkwan
continuing on, this means
This is a system of 4 simultaneous equations,
for which there is enough information to solve for the 4 values A, B, C, D
Combining (1) and (3)....2A+2B+2C=0 and 2A+2B-4C=0
subtracting these gives 6C=0, so
Hence 2A+2B=0 gives
Hence, from (4) we have 2A-D=0, so
therefore, using (2).....2A-2B+D=1 gives 4A+D=1 so so