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MathNet 2012 Question 4

Math Olympiad Vault · MathNet 2012

Question 4

Positive real numbers $a$, $b$, $c$, $d$ satisfy the relations
$$
abcd = 4, \quad a^2 + b^2 + c^2 + d^2 = 10.
$$
Determine the largest possible value of the expression $ab + bc + cd + da$.