Find all possible (x,y) of 1 digit positive integers for which:
x
y-y
x=11y+x
Since there aren't many numbers to check and they are ordered pairs, I though I might try using Desmos to solve.
https://www.desmos.com/calculator/435uckkccu
You can see the ordered pair (2,7) gives zero, corresponding to the solution to x^y-y^x-11y-x=0
There are also extraneous solutions (0,0) and (1,0)
I just realized it calls for positive integers (it was just 'digits' in the queue.) I added log(abs(l)) so the solution shows us as 'undefined'
https://www.desmos.com/calculator/dje7qbzsfv
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Posted by Jer
on 2023-09-21 10:12:34 |
Desmos solution
