*Rational Equations*

*Rational Equations*

*This week in math we learned about Rational equations.*

A rational equation is very similar to a rational expression, where a rational expression has us simplifying for the lowest and simplest possible answer, but a rational equation has us solving for whatever variable is in the equation.

An example of a rational equation would be: We can’t really use the same methods for simplifying since there are three fractions along with the equals sign. So one of the methods which I use is to multiply every term by whatever is on the bottom of the fraction, to get rid of the fraction entirely making it easier to solve for in this case. The steps would look like this: first I would multiply each term by the common denominator (which is ) during this step is where we would put the non-permissable values. In the first term the (x+3) that is being multiplied gets cancelled out and all that would remain is for the second term the (x) that is multiplying gets cancelled out making a 1. finally for the 3rd term the (2) and the (x+3) get cancelled out making a 1. so the equation that reamains without multiplying yet would look like: and from here we would just solve for x.