Question 73
Find all real numbers $x$ that satisfies
$$
\frac{x^{4}+x+1}{x^{4}+x^{2}-x-4}=\frac{x^{4}+1}{x^{4}+x^{2}-4}
$$
$$
\frac{x^{4}+x+1}{x^{4}+x^{2}-x-4}=\frac{x^{4}+1}{x^{4}+x^{2}-4}
$$
Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)