How do you write the partial fraction decomposition of the rational expression # (x+10)/(x^2+2x-8)#?
1 Answer
The equivalent partial fraction is :
Explanation:
Given
Step 1: Factor the denominator
Step 2: Set up the partial faction as follows:
Step 3: Multiply both sides by the LCD,
Step 4: Set up a system like this
Step 5. You can solve the system by the elimination method:
#+ -2A + 4B= 10 #
# 6B = 12 => B= 2#
Solve for
Step 6. Substitute