Algebra Pre-Algebra and Basic Algebra Math Forum

September 18th, 2019, 02:17 PM   #1
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From: Ksa

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 September 18th, 2019, 02:27 PM #2 Senior Member   Joined: Jun 2019 From: USA Posts: 310 Thanks: 162 What do you mean by "solve the equations?" Those equations describe surfaces in three dimensions (if x, y, and z are your coordinates). They are a plane, a sphere, and... I don't even know what you would call the third one. Every single point on the surface is a solution to the corresponding equation.
 September 18th, 2019, 03:35 PM #3 Senior Member     Joined: Sep 2015 From: USA Posts: 2,588 Thanks: 1432 I think they means solve all 3 simultaneously.
 September 18th, 2019, 03:39 PM #4 Senior Member     Joined: Sep 2015 From: USA Posts: 2,588 Thanks: 1432 Mathematica has exact solutions but they are rather lengthy. Here are the numerical approximations $\{x,y,z\} = \left( \begin{array}{ccc} -0.215425+0.264713 i & -0.215425-0.264713 i & 1.43085 \\ -0.215425+0.264713 i & 1.43085 & -0.215425-0.264713 i \\ -0.215425-0.264713 i & -0.215425+0.264713 i & 1.43085 \\ -0.215425-0.264713 i & 1.43085 & -0.215425+0.264713 i \\ 1.43085 & -0.215425-0.264713 i & -0.215425+0.264713 i \\ 1.43085 & -0.215425+0.264713 i & -0.215425-0.264713 i \\ \end{array} \right)$ Thanks from topsquark

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