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Apply the Tschirnhaus transformation to the quartic polynomial

 

x4+8x3+6x2-8x-7  

Yousif.m  Aug 22, 2018
 #1
avatar+26965 
+2

I'm not entirely sure the following is exactly the Tschirnhaus transformation method, but it's as close as I can get!

 

Alan  Aug 22, 2018
 #2
avatar+88775 
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That's a pretty neat method, Alan....I haven't seen it before.....!!!

 

cool cool cool

CPhill  Aug 22, 2018
 #3
avatar+60 
+1

If my teacher explains as you do I would get full marks every time!! Thanks for the time and effort I appreciate that. 

Yousif.m  Aug 23, 2018
 #4
avatar+26965 
+2

Thanks. It’s a method I’ve only seen used on cubic equations before - to eliminate the x2 term. I guess the quartic specified here was deliberately chosen to simplify enough that it would be easy to find the roots of the resulting transformed function.

Alan  Aug 23, 2018

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