perplexus.info :: Numbers : Temperature Temperament V

Temperature Temperament V (Posted on 2022-10-01)

Determine all possible pairs (x,y) of nonzero integers that satisfy this equation:

                    (x/y)^oC = (x-y)^oF

Note: ^oF = (9/5)*^oC+32, where ^oF represents degrees Fahrenheit and, ^oC represents degrees Celsius.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required pairs are given by:
(x, y) = (340, 2), (340, 306), or (20, -6)
For an explanation, refer to the analytic solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytic Solution	Brian Smith	2022-10-02 11:07:30
computer findings	Charlie	2022-10-01 12:35:19

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