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Temperature Travail II (Posted on 2021-12-25)

Determine all possible pairs (x,p) of nonzero integers satisfying this relationship.

(p*x)^o Celsius = (p*x²)^o Fahrenheit

Provide valid reasoning for your answer.

** It may be noted that F = (9/5)*C +32, where C and F respectively denotes degree(s) Celsius and degree(s) Fahrenheit.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (1 votes)

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computer solution

| Comment 1 of 3

clearvars

for Celsius=-273:100000

Fahr=9*Celsius/5+32;

if Fahr==floor(Fahr) && abs(Fahr)>=abs(Celsius)

x=Fahr/Celsius;

if x==floor(x)

if mod(Celsius,x)==0

disp([Celsius Fahr Celsius/x x])

end

finds

    °C    °F     p     x
    
   -40   -40   -40     1
     0    32     0   Inf
    10    50     2     5
   160   320    80     2

The second set is obviously not valid; the other three are.

Posted by Charlie on 2021-12-25 19:54:34

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