perplexus.info :: Just Math : Take Quadratic And Cubic, Get Sum And Product

Take Quadratic And Cubic, Get Sum And Product (Posted on 2007-08-24)

Determine all possible positive integer triplets (x, y, z) with y ≥ z satisfying the following system of equations :

牋牋牋牋牋牋牋牋 x² = 2(x+y+z)

牋牋牋牋牋牋爔³- y³ - z³ = 3xyz

See The Solution Submitted by K Sengupta

Rating: 3.8000 (5 votes)

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Subject	Author	Date
Alternative approach	FrankM	2008-01-19 21:51:13
re(2): Solution (little thing to add)	Dej Mar	2007-08-25 09:11:05
re: Solution (little thing to add)	Daniel	2007-08-25 02:15:58
Solution	Praneeth	2007-08-24 15:23:57

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