# Try geometry

Geometry Level 4

$f(x) = \sqrt{x^{2} + 121} + \sqrt{x^{2} - 14x + 218}$

Determine the value of $$x$$ that minimizes the function above.

If $$x = \dfrac{a}{b},$$ where $$a$$ and $$b$$ are positive coprime integers, then find $$a + b.$$

×