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MathNet 2018-part-05 — 181 problems (EN–VI) Question 1

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 1

Find all $x$ that satisfy
$$
\log_2(x^2 + 4) - \log_2 x + x^2 - 4x + 2 = 0.
$$