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Found problems: 1

2010 Bosnia And Herzegovina - Regional Olympiad, 1

Tags: frac , algebra
It is given positive real number $a$ such that: $$\left\{\frac{1}{a}\right\}=\{a^2\}$$ $$ 2<a^2<3$$ Find the value of $$a^{12}-\frac{144}{a}$$