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Diophantine Linear and Quadratic (Posted on 2015-11-01)

Find all possible positive integers A, B and C - with A ≤ B, that simultaneously satisfy:

A+B-C=12, and:
A² + B² - C² = 12

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

The only solutions with A, B and C positive and A <= B are: (13,78,79), (14,45,47), (15,34,37) and (18,23,29)
For an explanation, refer to the analytic solution submitted by Steve Herman in this location.

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

Subject	Author	Date
Corrected Analytical Solution	Steve Herman	2015-11-01 16:47:48
computer solution	Charlie	2015-11-01 13:26:19
re: Analytical solution (spoiler)	Charlie	2015-11-01 13:04:04
Analytical solution (spoiler)	Steve Herman	2015-11-01 12:30:57

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