Write the partial fraction decomposition of the rational expression. (x+4)/(x^2-x-30)

Francis Oliver

Francis Oliver

Answered question

2022-10-26

Write the partial fraction decomposition of the rational expression.
x + 4 x 2 x 30

Answer & Explanation

lefeuilleton42

lefeuilleton42

Beginner2022-10-27Added 12 answers

Solution:
x + 4 x 2 x 30 = x + 4 x 2 6 x + 5 x 30 = x + 4 x ( x 6 ) 5 ( x 6 ) = x + 4 ( x 6 ) ( x + 5 ) = 10 / 11 ( x 6 ) + 1 / 11 ( x + 5 )

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