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

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Question 312238: decompose the expression (17n-23)/ (4n^2+23n-6) into partial fractions
Answer by solver91311(24713) About Me  (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