Question 154
Find all real numbers $x$ for which
$$
\frac{x\sqrt{14}}{\sqrt{x+1}+\sqrt{1-x}} \gt \sqrt{2-x}.
$$
$$
\frac{x\sqrt{14}}{\sqrt{x+1}+\sqrt{1-x}} \gt \sqrt{2-x}.
$$
MathNet 2026 — Part 05 Question 154
Math Olympiad Vault · MathNet 2026 — Part 05