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Solving Rational Equations Video 2

Author: John Fisk

This video solves the following equation containing a rational expression. You can try to solve the problems before watching the video and click "Reveal Answer" to see if you are correct.

Problem: Solve the equation \(\quad\dfrac{2}{x+3}+\dfrac{x}{x-1}=3.\)

Video Errata: At the end of the video, there is a mistake when plugging the values into the quadratic formula. There should be a \(\sqrt{57},\) instead of \(\sqrt{29}.\) Everything else in the video is correct, and you can see the correct final answer below.

\(x=\dfrac{-1-\sqrt{57}}{4},\) \(x=\dfrac{-1+\sqrt{57}}{4}\)

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