perplexus.info :: Calculus : Only one, one, one

Only one, one, one (Posted on 2007-05-30)

It's obvious that x=y=z=1 is an all-positive, all-real, solution of

x + y² + z³ = 3
y + z² + x³ = 3
z + x² + y³ = 3

Can you prove that it is the only such solution?

See The Solution Submitted by Federico Kereki

Rating: 4.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: not true

Comment 5 of 5 |

(In reply to not true by Ady TZIDON)

Yes, you are quite right.

Posted by Robby Goetschalckx on 2007-06-01 06:11:14

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