# Infinite nested roots. Answer 2016 or maybe not? Try it.

Algebra Level 3

There is a function

$$f\left( x \right) =\sqrt { x+\sqrt { x+\sqrt { x+\sqrt { x+.... } } } }$$

and there are two numbers, $$a$$ and $$b$$, both integers. It is known that:

1.$$f(a) \times\ f(b) = 999$$

2.$$f(a) + f(b) = 64$$

But, unfortunately a + b is uknown. Let change that!

×