Russian Math Olympiad Problems And - Solutions Pdf Verified

(From the 2001 Russian Math Olympiad, Grade 11)

Let $f(x) = x^2 + 4x + 2$. Find all $x$ such that $f(f(x)) = 2$. russian math olympiad problems and solutions pdf verified

Russian Math Olympiad Problems and Solutions (From the 2001 Russian Math Olympiad, Grade 11)

(From the 2007 Russian Math Olympiad, Grade 8) (From the 2001 Russian Math Olympiad

In a triangle $ABC$, let $M$ be the midpoint of $BC$, and let $I$ be the incenter. Suppose that $\angle BIM = 90^{\circ}$. Find $\angle BAC$.

(From the 2010 Russian Math Olympiad, Grade 10)