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I like the approach, rpray, but note that the RHS squares to
4 - 4|a| + a^2
... then you can solve by the two cases for a. Otherwise, you lose one of the solutions.
Arcsine - you got me there! I stand corrected.
Thank you, rpray2007 and ArcSine! I tried something similar too, but I got struck at the modulus. Now I know what I have to do :)
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