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2022 SSMO Team Round Problems/Problem 11

Revision as of 12:07, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Find the number of solutions to <math>a^3+36ab+64=27b^3,</math> where <math>a</math> is an integer, <math>b</math> is a real number, and <math>|b|\le 50</math>. =...")
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Problem

Find the number of solutions to $a^3+36ab+64=27b^3,$ where $a$ is an integer, $b$ is a real number, and $|b|\le 50$.

Solution

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