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MathNet 2019-part-05 — 184 problems (EN–VI) Question 31

Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)

Question 31

Find the maximum value of the expression

$$
E(a, b) = \frac{a + b}{(4a^2 + 3)(4b^2 + 3)}
$$

when $a, b \in \mathbb{R}$.