SOLUTION: decompose the expression (17n-23)/ (4n^2+23n-6) into partial fractions

Question 312238: decompose the expression (17n-23)/ (4n^2+23n-6) into partial fractions
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

First factor the denominator.

Since there are two linear factors, you only need two numerator variables:

You are looking for the values of

and

such that

Add the two terms in the right hand side using the LCD which is the original denominator:

Collect like terms:

In order for the LHS to be equal to the RHS, the coefficients must be equal, so:

Solve the system:

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And then substitute:

John

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