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Art of Problem Solving
AoPS Academy
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
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and language arts learners in grades 2-12.
makes there exist exactly 
real solutions to this system?
![\[y = \left|x^2-2a\right|\]](http://latex.artofproblemsolving.com/3/1/f/31ffa68be0b8c0cd72224855bbf086c7fe1abade.png)
![\[x^2+(y-a)^2=a^2\]](http://latex.artofproblemsolving.com/3/d/1/3d153cdf64d31e2a4075879f2cd579b59368c1e0.png)
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