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Andrews [41]
3 years ago
11

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

\dfrac{A}{x}+\dfrac{B}{x-6}

Step-by-step explanation:

Given the function \dfrac{37}{x(x-6)}, to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

= \dfrac{37}{x(x-6)}\\\\= \dfrac{A}{x}+\dfrac{B}{x-6}

<em>Since we are not to solve for the constants, hence the partial fraction is </em>\dfrac{A}{x}+\dfrac{B}{x-6}

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