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Explain the five-steps for solving rational equations. Can any of these steps be...
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- Find the lowest common denominator (LCD)
- Use LCD to eliminate any denominator
- Simplify the terms as you will now have a linear or quadratic equation and you can add or subtract like terms or move them across the equation etc.
- Solve the equation
- Check the solution for restrictions. Care to ensure that your answer does not reduce the denominator to zero.
High School Teacher
First of all it is important to understand what a "rational equation" is. It is an equation where at least one of the expressions contains a fraction (a rational expression).
As it contains a fraction it is important to be aware that some solutions may not be relevant to the answer as they could render the answer "undefined" which means there would be a zero in the denominator; for example, if (x-1) is in your denominator x cannot equal 1 `x!=1` because 1-1 = 0
Posted by durbanville on November 29, 2012 at 4:39 AM (Answer #1)
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