Well you could form a polynomial with roots alpha^2, beta^2, gamma^2, delta^2. And then finding the sum of roots (-b/a) of that polymomial
For roots of a polynomial stuff, do you have to remember like alpha^2 + beta^2 + gamma^2 + delta^2 and what this is equivalent to? I know alpha^2 + beta^2 = (alpha+beta)^2 - 2alpha*beta but do we have to remember the hard ones like shown above? If we do is there a way to derive them?
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2016 HSC (Accelerated): // 2U Maths (97) // SOR 1 (48) //
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Well you could form a polynomial with roots alpha^2, beta^2, gamma^2, delta^2. And then finding the sum of roots (-b/a) of that polymomial
HSC 2017
General Maths - English Standard - Biology - Senior Science - Geography
Atar aim: 72
Course: Bachelor of Arts @ WSU
Offering tutoring for Biology, Maths, Maths Ext 1, and Maths Ext 2.
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2016 HSC (Accelerated): // 2U Maths (97) // SOR 1 (48) //
2017 HSC: // English Adv // Bio // Phys // 3U Maths // 4U Maths //
Goal: 99.8+
https://en.wikipedia.org/wiki/Newton's_identities .
As background reading too, you may want to see:
- https://en.wikipedia.org/wiki/Symmetric_polynomial
- https://en.wikipedia.org/wiki/Elemen...ric_polynomial (and this part: https://en.wikipedia.org/wiki/Elemen...ic_polynomials (which was asked as a question by glittergal96 in a previous MX2 Advanced Level marathon here: HSC 2016 MX2 Marathon ADVANCED (archive))).
Is there any way to do all this stuff using pythagorus? I mean with all the a^2, b^2
Why thankyou my good sir. I tip my hat to you
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