Difference between revisions of "2020 AIME II Problems/Problem 3"
Topnotchmath (talk | contribs) |
Topnotchmath (talk | contribs) |
||
Line 7: | Line 7: | ||
~rayfish | ~rayfish | ||
==Video Solution== | ==Video Solution== | ||
− | https:// | + | https://youtu.be/lPr4fYEoXi0 ~ CNCM |
==See Also== | ==See Also== |
Revision as of 18:09, 7 June 2020
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://youtu.be/lPr4fYEoXi0 ~ CNCM