Asked by frank
write the partial fraction decomposition of the rational expression
ax over x squared -x-2
or ax
____________
xsquared-x-2
ax over x squared -x-2
or ax
____________
xsquared-x-2
Answers
Answered by
Reiny
let
ax/((x-2)(x+1)) = A/(x-2) + B/(x+1)
ax/((x-2)(x+1)) = (A(x+1) + B(x-2))/((x-2)(x+1))
ax = A(x+1) + B(x-2)
let x=2
2a = 3A ---- A = 2a/3
let x=-1
-a = -3B --- B = a/3
take it from there
ax/((x-2)(x+1)) = A/(x-2) + B/(x+1)
ax/((x-2)(x+1)) = (A(x+1) + B(x-2))/((x-2)(x+1))
ax = A(x+1) + B(x-2)
let x=2
2a = 3A ---- A = 2a/3
let x=-1
-a = -3B --- B = a/3
take it from there
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