2020 AIME II Problems/Problem 3
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Contents
[hide]Problem
The value of that satisfies can be written as , where and are relatively prime positive integers. Find .
Solution
Let . Based on the equation, we get and . Expanding the second equation, we get . Substituting the first equation in, we get , so . Taking the 100th root, we get . Therefore, , so and the answer is . ~rayfish
Video Solution
https://www.youtube.com/watch?v=lPr4fYEoXi0 ~ CNCM