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mared April 17th, 2014 01:03 PM

solve abs(x^2-abs(x))=2

Evgeny.Makarov April 17th, 2014 05:29 PM

To remove the outer absolute value, solve $x^2-|x|=\pm 2$. To remove the inner absolute value, consider two cases: (1) $x<0$ and $|x|=-x$ or (2) $x\ge0$ and $|x|=x$.

v8archie April 18th, 2014 05:38 PM

Remember that $|x|^2 =x^2$

The first step is then to square the equation, noting that no solutions are added.

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