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Found problems: 1

2012 Centers of Excellency of Suceava, 4
Tags: equation , cartesian circle , monotone , algebra
Solve in the reals the following system. $$ \left\{ \begin{matrix} \log_2|x|\cdot\log_2|y| =3/2 \\x^2+y^2=12 \end{matrix} \right. $$ [i]Gheorghe Marchitan[/i]