SOLUTION: PARTIAL FRACTIONS A) 4 /(X+2) (X-1)^2 B) 5X-1/ (X^2+4) (X+1)

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Question 1091053: PARTIAL FRACTIONS
A) 4 /(X+2) (X-1)^2
B) 5X-1/ (X^2+4) (X+1)

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
A.

create partial fraction template using denominator

multiply equation by denominator

simplify


solve the unknown by plugging the real roots of the denominator: ,
for the root ,
for the root ,

plug in the solutions to the known parameters


expand

extract variables from within fractions



solve for








plug in solutions to the partial fraction parameters to obtain final result

simplify


B.

create partial fraction template using denominator

multiply equation by denominator

simplify


solve the unknown by plugging the real root of the denominator:








plug in the solution to the known parameters


expand


extract variables from within fractions




use the real root of the denominator( ) to create system of equations



solve the system
->
->->->
->->->









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