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 September 6th, 2018, 02:55 PM #1 Newbie   Joined: Sep 2018 From: Spain Posts: 4 Thanks: 0 Solve this system of equations x^2+yz+y^2*x=0 y^2+xz+z^2*y=0 z^2+xy+x^2*z=0
 September 6th, 2018, 04:45 PM #2 Senior Member   Joined: Sep 2016 From: USA Posts: 558 Thanks: 322 Math Focus: Dynamical systems, analytic function theory, numerics Ok. Done. Thanks from Denis and Joppy
 September 6th, 2018, 04:54 PM #3 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,958 Thanks: 991 Hmmmm....a=0, b=0, c=0 Ahem!! Thanks from Joppy
 September 6th, 2018, 05:15 PM #4 Senior Member     Joined: Sep 2015 From: USA Posts: 2,311 Thanks: 1223 there is another real solution as well
September 6th, 2018, 05:18 PM   #5
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Quote:
 Originally Posted by romsek there is another real solution as well
Tiger shot minus 2 in opening round?

September 6th, 2018, 08:11 PM   #6
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Quote:
 Originally Posted by Denis Tiger shot minus 2 in opening round?
indeed he did

 September 6th, 2018, 09:42 PM #7 Newbie   Joined: Sep 2018 From: Spain Posts: 4 Thanks: 0 Thank you guys, though I guess, I didn't make myself clear enough. I meant: determine all real solutions and, having done so, prove that there are no other real solutions. Last edited by Jungle12; September 6th, 2018 at 10:03 PM.
 September 7th, 2018, 04:54 AM #8 Senior Member   Joined: Sep 2016 From: USA Posts: 558 Thanks: 322 Math Focus: Dynamical systems, analytic function theory, numerics This is how you find them: https://en.wikipedia.org/wiki/Newton%27s_method This is how you prove there aren't any others: 6.4.2 Cylindrical Algebraic Decomposition
September 7th, 2018, 04:59 AM   #9
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Quote:
 Originally Posted by Jungle12 I didn't make myself clear enough.
Where did you get this problem from?

 September 7th, 2018, 07:34 AM #10 Newbie   Joined: Sep 2018 From: Spain Posts: 4 Thanks: 0 A mate of mine asked me to solve it for them, I wasn't able to, so I asked for it here

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