Each of x and y is a nonnegative integer such that:
Celsius = yo
Determine all pairs (x,y) such that x*y is a perfect square, where x < 106
**** 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 2022-01-07 19:11:36