SOLUTION: Consider the rational function f(x)= x-1/x^2-4 Find the partial fraction expansion of f.
Algebra.Com
Question 1015205: Consider the rational function f(x)= x-1/x^2-4 Find the partial fraction expansion of f.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
What you need to do is find A and B such that
After multiplying by the common denominator
x-1 = A(x-2) + B(x+2)
x-1 = Ax - 2A + Bx + 2B
this means
A + B = 1 and
2B - 2A = -1
B - A = -1/2
Now add these and get
2B = 1/2
B = 1/4
A = 3/4
RELATED QUESTIONS
Find the partial fraction expansion of the rational function... (answered by stanbon)
determine the partial fraction expansion of the rational functionh(x)= 1/(x-1)^2... (answered by josgarithmetic)
Write the partial fraction decomposition of the rational expression... (answered by Fombitz)
please help me find the partial fraction decomposition of the rational function {{{... (answered by Alan3354)
Consider the function below.
f(x)= x^4/(x^2=1) Find the domain of... (answered by ikleyn)
Consider the function below.
f(x)= x^4/(x^2=1) Find the domain of f. (answered by ikleyn)
Write the partial fraction decomposition of each rational expression.
x/x^2-5x+6
(answered by robertb)
Write the partial fraction decomposition of the rational expression.
{{{ x/(x+1)(x+2)... (answered by Edwin McCravy)
find the zeros of the given rational function f(x) = (x^2 - 3x - 4) / (x -... (answered by josgarithmetic)