SOLUTION: Homework - absolute value abs(x^2-3) = 2x I know in absolute value you work it twice once + then -, but im not sure what to do with this one. Thanks

Algebra ->  Absolute-value -> SOLUTION: Homework - absolute value abs(x^2-3) = 2x I know in absolute value you work it twice once + then -, but im not sure what to do with this one. Thanks      Log On


   

Question 190867: Homework - absolute value
abs(x^2-3) = 2x
I know in absolute value you work it twice once + then -, but im not sure what to do with this one. Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you have the equation abs%28x%29=a, to find "x", you simply solve the two equations x=a or -x=a


So in this case, to solve abs%28x%5E2-3%29+=+2x, you'll need to solve x%5E2-3=2x (you'll get two solutions here) and you'll need to solve -%28x%5E2-3%29=2x (you'll get two more solutions here)


Once you have the four possible solutions, you need to check them. If any possible solutions do not satisfy the original equation abs%28x%5E2-3%29+=+2x, then they are not a solution.


Let me know if this makes sense. If not, then repost or email me.