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Find the partial fraction decomposition for the rational expression.(10x+14)/(x^(2)-2x-35)

Question

Find the partial fraction decomposition for the rational expression.

(10x+14)/(x^(2)-2x-35)

check_circleAnswer
Step 1

Consider the provided expression:

10x 14
x2 -2х -35
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10x 14 x2 -2х -35

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Step 2

Now, factorize the denominator as:

10x+14
x2-2-35 x2-7x+5x-35
10x+14
10r14
(x-7)(x+5)
||
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10x+14 x2-2-35 x2-7x+5x-35 10x+14 10r14 (x-7)(x+5) ||

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Step 3

Now, to obtain the partial fraction decompos...

b
10r 14
a
.. (1)
(x-7)(x+5) x-7x+5
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b 10r 14 a .. (1) (x-7)(x+5) x-7x+5

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