Number Theory ProblemWatch

Announcements
This discussion is closed.
14 years ago
#41
(Original post by BCHL85)
If x, y , z, k is positive integers so that
x^2 + y^2 + z^2 = k(xyz +1).
Prove there are 2 positive integers a and b so that k = a^2 + b^2
That's my 1st one.
Too tired to do this. Maybe tomorrow.
0
14 years ago
#42
(Original post by J.F.N)
Too tired to do this. Maybe tomorrow.
Yeah I know. Look at your work on 1st question ... I knew you did hard
0
14 years ago
#43
Well done JFN!
0
14 years ago
#44
Hmm, I try some values on my question, and always end up with k = 2. Someone doing computing can help me to find other value for k?
Thanks
0
14 years ago
#45
(10,2,1) gives k=5. It is key to realize that k must divide one of x,y,z (its clearly immaterial which). I've made considerable progress on the problem, but its still not finished.
0
14 years ago
#46
(Original post by J.F.N)
(10,2,1) gives k=5. It is key to realize that k must divide one of x,y,z (its clearly immaterial which). I've made considerable progress on the problem, but its still not finished.
It seems be harder with 3 variables(not contains k), not only 2 as Galois's question. Proving it ... haha ... I think I must quit cuz even 2 variables it did make me crazy.
0
14 years ago
#47
(Original post by BCHL85)
It seems be harder with 3 variables(not contains k), not only 2 as Galois's question. Proving it ... haha ... I think I must quit cuz even 2 variables it did make me crazy.
Where did you get the question from?
0
14 years ago
#48
(Original post by dvs)
Well done JFN!
Thank you.
0
X
new posts
Back
to top
Latest
My Feed

Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

University open days

Thu, 24 Oct '19
• Cardiff University
Sat, 26 Oct '19
• Brunel University London
Sat, 26 Oct '19

Poll

Join the discussion

Yes (68)
23.45%
No (222)
76.55%