Russian l can you solve this exponential problem?? l Olympiad Mathematics

[@CBordages]

Intuitively, ask, what two perfect cubes, when added up, equal 35. The answer is 27 and 8. 27 is 3^3 and 8 is 2^3. X=3. Don't overthink things.

[@custodiolemoslemos2145]

I don´t agree completely with the assumption that (X+Y)*(X^2-YX+Y^2) = 1*35. Why not (X+Y)*(X^2-YX+Y^2) = 5*7 or (X+Y)*(X^2-YX+Y^2) = 7*5, for example. We can not force a result for an equation!!!

[@DavisRimu]

How long did that take? I did it in my head instantly and fast-forwarded to the end of the video to check if my solution was correct. It was, and I'm no mathematician.

[@garygornak]

3

[@簡欽慧]

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