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March 5th, 2009, 03:05 AM  #1 
Member Joined: Dec 2008 Posts: 78 Thanks: 0  Finding Roots of a Polynomial Using Galois Theory....
Hi guys, I need to find all the complex roots of X^4  Sqrt(6) + 7/4 using Galois Theory. I have books containing all the theory but can not find a worked example to see how this theory is applied. Any help on how to answer this question would be greatly appreciated! Thanks in advance. 
March 5th, 2009, 01:49 PM  #2 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: Finding Roots of a Polynomial Using Galois Theory....
Galois theory is only needed for quintics and above. The second factor has the two imaginary roots 
March 5th, 2009, 03:55 PM  #3 
Member Joined: Dec 2008 Posts: 78 Thanks: 0  Re: Finding Roots of a Polynomial Using Galois Theory....
Oh....ok, thanks aswoods well the question says using Galois Theory. :s The second part says, also using Galois Theory, find all the complex roots of X^4+1/2X^22X+7/4 & calculate the Galois Group of the quartic X^42X^2+4X2. Any ideas? Thanks. 
March 8th, 2009, 07:57 AM  #4 
Newbie Joined: Mar 2009 Posts: 1 Thanks: 0  Re: Finding Roots of a Polynomial Using Galois Theory....
hi! i jst want to know which is the biggest slope between 7 and 7


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finding, galois, polynomial, roots, theory 
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