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Rational Equations : Excluded Values and Extraneous Solution

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When solving rational equations, I must check my solutions to make sure I am not including extraneous solutions that are not actual solutions to the original equations. If any of the solutions are "excluded values" in the original equation, then they must be thrown out. Using the rational equation,

x + 2 = 10
x - 2 x + 3 x^2 + x - 6

discuss the concepts of excluded values and extraneous solutions. Try to come up with your own examples as well.

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A step by step solution is provided to solve problem on rational equations. It also explains the concept of excluded values and extraneous solutions in rational equations.

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When solving rational equations, I must check my solutions to make sure I am not including extraneous solutions that are not actual solutions to the original equations. ...

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