# How far can you go?

Algebra Level 3

What are the possible values of $$(x^{2} + x + 1)^{\frac{1}{2}} - (x^{2} - x + 1)^{\frac{1}{2}}$$ as $$x$$ ranges over all real numbers?

Express your answer as $$a + b$$ if $$a < x < b$$

×