SOLUTION: Give an example (other than the ones in the lecture or the text book) of a rational equation where the solution(s) makes the denominator equal to zero, and hence must be rejected;

Question 121043: Give an example (other than the ones in the lecture or the text book) of a rational equation where the solution(s) makes the denominator equal to zero, and hence must be rejected; i.e the solutions are extraneous solutions.

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Sometimes with rational equations a results in a

. This solution

since division by zero is .
If a denominator is comprised of a variable or a variable expression, consider the value or values that would make the denominator equal to zero and make a note excluding those values as solutions.
Example:
Solve the rational equation algebraically �.note that a denominator is comprised of a variable and
��.for denominators of ,, and , the is , so we will have:

��.simplify
��.simplify
��.
��.

��.
��.
��.

��.This solution must be rejected

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