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Some Reals Sum Two (Posted on 2008-09-01)

Determine all possible real quadruplet(s) (P, Q, R, S) with P ≤ Q ≤ R ≤ S that satisfy this system of equations:

P + Q*R*S = 2, and:

Q + R*S*P = 2, and:

R + P*Q*S = 2, and:

S + P*Q*R = 2.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(P,Q,R,S) = (1,1,1,1) and (-1,-1,-1,3).

EXPLANATION:

Refer to the methodologies submitted by Daniel and Steve Herman in the first two comments.

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

Subject	Author	Date
re(2): Unreal!	Steve Herman	2008-09-01 20:02:20
re: Unreal!	Ady TZIDON	2008-09-01 17:48:00
Unreal!	Steve Herman	2008-09-01 15:23:28
re: solution checking	Daniel	2008-09-01 14:21:20
solution checking	Steve Herman	2008-09-01 14:06:10
solution (spoiler)	Daniel	2008-09-01 13:06:26

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