April 17th, 2014, 01:03 PM  #1 
Senior Member Joined: Nov 2013 Posts: 434 Thanks: 8  ads
solve abs(x^2abs(x))=2
Last edited by mared; April 17th, 2014 at 01:05 PM. 
April 17th, 2014, 05:29 PM  #2 
Senior Member Joined: Dec 2013 From: Russia Posts: 327 Thanks: 108 
To remove the outer absolute value, solve $x^2x=\pm 2$. To remove the inner absolute value, consider two cases: (1) $x<0$ and $x=x$ or (2) $x\ge0$ and $x=x$.

April 18th, 2014, 05:38 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,660 Thanks: 2635 Math Focus: Mainly analysis and algebra 
Remember that $x^2 =x^2$ The first step is then to square the equation, noting that no solutions are added. Last edited by v8archie; April 18th, 2014 at 06:37 PM. 