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Real Numbers and System of Equations Settlement (Posted on 2023-11-20)

Find all real numbers p, q, and r that satisfy this system of equations:

1/p+q+r = p+1/q+r = p+q+1/r = 3

*** Adapted from a problem appearing at El Salvador Math Olympiad in 2017.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The solution set is given by:
(p,q, r)= (1,1,1), (1/2,1/2,1/2), (3,3,-1/3), (3,-1/3,3), (-1/3,3,3)
For an explanation, refer to the solution submitted by Larry in this location.

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

	Subject	Author	Date
	Solution	Larry	2023-11-20 08:22:20

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