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Fahrenheit*Celsius equals Perfect Square (Posted on 2022-01-07) Difficulty: 3 of 5
Each of x and y is a nonnegative integer such that:

xo Celsius = yo Fahrenheit

Determine all pairs (x,y) such that x*y is a perfect square, where x < 106

**** Celsius to Fahrenheit conversion is given here.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Just a note Comment 3 of 3 |
If negative numbers were allowed -40 on both scales would result in the perfect square 1600; this is the only negative that would work in actual possible temperatures (above absolute zero), though the arithmetically correct -1440 °C  ,    -2560 °F produce    3686400, the square of     1920 satisfies the formula.
  Posted by Charlie on 2022-01-07 19:11:36
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