Each of x and y is a nonnegative integer such that:
x
^{o} Celsius = y
^{o} Fahrenheit
Determine all pairs (x,y) such that x*y is a perfect square, where x < 10
^{6}
**** Celsius to Fahrenheit conversion is given
here.
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 20220107 19:11:36 