Art of Problem Solving

2023 IOQM/Problem 4: Difference between revisions

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<cmath>x^{4}=(x-1)(y^{3}-23)-1</cmath>
<cmath>x^{4}=(x-1)(y^{3}-23)-1</cmath>


Find the maximum possible value of <math>x + y</math>.
Find the maximum possible value of <math>x + y</math>
==Solution==

Latest revision as of 23:30, 31 August 2024

Problem

Let $x, y$ be positive integers such that \[x^{4}=(x-1)(y^{3}-23)-1\]

Find the maximum possible value of $x + y$