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MathNet 2023-part-01 — 191 problems (EN–VI) Question 129

Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)

Question 129

Solve the equation
$$
(x + 1)\sqrt{x^2 + 2x + 2} + x\sqrt{x^2 + 1} = 0.
$$