SOLUTION: what is the partial fraction decomposition of {{{ (6x-10)/(3x^2+8x+5) }}}?

Algebra ->  Equations -> SOLUTION: what is the partial fraction decomposition of {{{ (6x-10)/(3x^2+8x+5) }}}?      Log On


   

Question 1103938: what is the partial fraction decomposition of +%286x-10%29%2F%283x%5E2%2B8x%2B5%29+?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%286x-10%29%2F%28%283x%2B5%29%28x%2B1%29%29
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A%2F%283x%2B5%29%2BB%2F%28x%2B1%29=%286x-10%29%2F%28%283x%2B5%29%28x%2B1%29%29

%283x%2B5%29%28x%2B1%29%28A%2F%283x%2B5%29%2BB%2F%28x%2B1%29%29=6x-10

Can you continue from there?

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You should be finding %28A%2B3B%29x%2B%28A%2B5B%29=6x-10
and then equate the corresponding coefficients.

system%28A%2B3B=6%2CA%2B5B=-10%29
Solve this system for A and B.