(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Write the following quardatic surface equation as a sum of multiples of

squares of independent linear functions

[itex]x^{2}+4y^{2}+56z^{2}+2xy+4xz+28yz[/itex]

2. Relevant equations

3. The attempt at a solution

Please see attachment.

nb. there is no answer provided by the tute, but from all the previous exercises, it should

be in the form of something like [itex](ax + by -cz)^{2} + (dx + ey -fz)^{2} + g^{2}[/itex]

My problem is that I have no effective and quick way to solve these sorts of problems using the complete the squares method.

I would have to spend hours trying to find a combination that will make the equation balance out

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# Homework Help: Quadratic surfaces question

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