This week in math we learned how to solve linear absolute value equations algebraically. This can be done by first splitting the desired equation into two. One being the original equation (without absolute value brackets), and the second being similar but it must be the opposite, this can be done by adding a negative symbol in front of the equation.

 

 

Once you’ve figured out X you must verify it to check for extraneous roots. To do this you can just plug the X value back into the equation. If the right side balances out with the left than it is not extraneous, but if it doesn’t than the root is in fact extraneous. Another thing you can do that will save you time is take the absolute value and create a restriction. From there you compare it with your Answer. If the statement is true then you do not have an extraneous root.