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March 26th, 2014, 08:34 PM  #1 
Senior Member Joined: Nov 2013 Posts: 137 Thanks: 1  Solution for algebraic equations
I noticed that it's always possible to find the roots of polynomials of kind: So I thought to transform the quadratic, the cubic, the quartic and the quintic function in the forms above, look: So, comparing the equations: implies that: So, Happens that 1) Is this idea correct? 2) If yes, is it possible to solve equations of the 5th, 6th, 7th... degree with this process? 
March 29th, 2014, 11:46 AM  #2 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory 
I haven't looked at it closely for errors, seems almost obvious that this is false. I'll just directly check your final result for Let's compute . This is If 0, and this case is outright ruled out. Otherwise, in which case And this is clearly not a zero of the polynomial given! 

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