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2024 SSMO Team Round Problems/Problem 7

Revision as of 15:44, 2 May 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>a</math> and <math>b</math> be real numbers that satisfy <math>a^3+8ab^2=8b^3+4a^2b=375</math>. Find <math>\lfloor ab \rfloor</math>. ==Solution==")
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Problem

Let $a$ and $b$ be real numbers that satisfy $a^3+8ab^2=8b^3+4a^2b=375$. Find $\lfloor ab \rfloor$.

Solution

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