SOLUTION: Find the partial fraction decomposition of {{{(2x-2)/(x-5)(x-3)}}}. {{{(2x-2)/((x-5)(x-3))}}} {{{A/(x-5)+B/(x-3)=2x-2}}} {{{A(x-3)+B(x-5)=2x-2}}} {{{Ax-3A+Bx-5B=2x-2}}}

Algebra ->  Trigonometry-basics -> SOLUTION: Find the partial fraction decomposition of {{{(2x-2)/(x-5)(x-3)}}}. {{{(2x-2)/((x-5)(x-3))}}} {{{A/(x-5)+B/(x-3)=2x-2}}} {{{A(x-3)+B(x-5)=2x-2}}} {{{Ax-3A+Bx-5B=2x-2}}}      Log On


   

Question 71053: Find the partial fraction decomposition of %282x-2%29%2F%28x-5%29%28x-3%29.
%282x-2%29%2F%28%28x-5%29%28x-3%29%29
A%2F%28x-5%29%2BB%2F%28x-3%29=2x-2
A%28x-3%29%2BB%28x-5%29=2x-2
Ax-3A%2BBx-5B=2x-2
Equate coefficients:
A%2BB=2
-3A-4B=-2
Solve the system and we get A=4 and B=-2
The PFD is:
4%2F%28x-5%29-2%2F%28x-3%29
Answer by galactus(183) About Me  (Show Source):