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MathNet 2016-part-03 — 184 problems (EN–VI) Question 73

Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)

Question 73

Find all real numbers $x$ that satisfies
$$
\frac{x^{4}+x+1}{x^{4}+x^{2}-x-4}=\frac{x^{4}+1}{x^{4}+x^{2}-4}
$$