SOLUTION: Why is it especially important to check the possiable soutions to a rational equation?

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Question 123107This question is from textbook
: Why is it especially important to check the possiable soutions to a rational equation? This question is from textbook

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Notice that, a rational equation has the denominators and all the
difficulties come from them. Whichever method you use to solve a rational
equation, at some point you're going to get rid of the denominators.
Remember that, with rational equations, you always+have+to
+check the answers+back in the original equation because you can
end up with an invalid+solution. If you find an invalid solution
(even you didn't do anything wrong), it might causes division by zero, then
the equation really has no+solution.