perplexus.info :: Numbers : Three Distinct Positive Integers and Square Possibility Poser

Three Distinct Positive Integers and Square Possibility Poser (Posted on 2023-08-09)

A, B, and C are three positive integers in arithmetic sequence with A < B < C.

Do there exist three distinct positive integers P, Q, and R that satisfy this system of equations:

A+B*C = P^2
B+C*A = Q^2
C+A*B = R^2?

Provide valid reasoning for your answer.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

No. There does NOT exist three positive integers in arithmwtic sequence with A < B < C that satisfy the given equation.
For an explanation, refer to the solution submitted by broll in this location.

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

Subject	Author	Date
re: No Subject	tommaison	2023-08-21 10:42:46
No Subject	K Sengupta	2023-08-11 02:04:54
fnaf12	boxnovel	2023-08-10 02:11:02
Possible Solution	broll	2023-08-10 01:33:43

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