SOLUTION: State expression x+1/x(x+5) as a partial fractions and determine the values of constans.
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Question 70919
:
State expression x+1/x(x+5) as a partial fractions and determine the values of constans.
Answer by
algebrapro18(249)
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x+1/x(x+5) = A/x + B/(x+5)
x+1 = A(x+5)+B(x)
let x = 0
1=5A
A= 1/5
let x = -5
-4=-5B
4/5 = B
x+1/x(x+5) = 1/5/x + 4/5/(x+5) = 1/5x + 4/5(x+5)