How Do You Solve Complex Rational Equations Without Proper Guidance?

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SUMMARY

This discussion focuses on solving complex rational equations, specifically addressing two example problems involving rational expressions. The first equation, 7/(s-1) - 10/(s^2-s) = (s+2)/s, requires the elimination of denominators to simplify the equation. The second equation, 2y/(y^2+3y-10) + 4/(y^2+6y+5) = 3y/(y^2-y-2), emphasizes the importance of multiplying through by the highest powered denominator and checking for restrictions where denominators cannot equal zero.

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Ok, so before every says that I am just looking for answers, I would like to say my teacher has been on "stress leave" for the past 5 weeks and we have been tought by a very bad "math" teacher

Im having a hard time with Rational Equations, I guess because I have no notes on it :cry: So I am looking for some help. I was given a sheet and have to have it done but since I can only do a few, I am asking for your help...

Question #1
7/s-1 - 10/s^2-s = s+2/s I don't even know where to start

Question #2
2y/y^2+3y-10 + 4/y^2+6y+5 = 3y/y^2-y-2
 
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Start off by getting rid of the annoying denominators. Multiply through the equations by the highest powered denominator you can find and it'll turn into a much friendlier equation.

Just remember that none of the denominators can equal zero, so you must check your solutions with the original equation!

--J
 

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