
Math Events Math Events, Competitions, Meetups  Local, Regional, State, National, International 
 LinkBack  Thread Tools  Display Modes 
May 31st, 2010, 11:41 PM  #1 
Newbie Joined: May 2010 Posts: 3 Thanks: 0  Solvability issues
Sorry for a repost, but this question seems quite challenging. Our proff gave us this equation: a^n + a^(n1) + ... + a^2 + a + x = 0 Where a,x > 2 and n > 5. Then he asks: 1) Does there exist some (n>5), such that for that n, the equation is solvable in terms of its coefficients? Or is this equation unsolvable in terms of radicals for any (n>5)? 2) If it is unsolvable for any (n>5), does that mean if you claimed a was represented in terms of radicals of the coefficients, that statement is false? 3) If it is solvable or unsolvable for some (n>5), then what significant or interesting properties of a,x,n could you tell me for when it is unsolvable or solvable? How did you reach that step of solvability and properties? 4) If it is solvable for any (n>5), then what significant or interesting properties of a,x,n could you tell me for when it is unsolvable or solvable? How did you reach that step of solvability and properties? Question 3,4 seem vague but im guessing he's thinking of the relationship of a,n,x to each other. Please let the answer be basic, and understandable, something a beginner in abstract algebra can understand. I hope no one has any qualms about homework assignments, thank you 
June 1st, 2010, 02:38 AM  #2 
Senior Member Joined: Apr 2008 Posts: 435 Thanks: 0  Re: Solvability issues 

Tags 
issues, solvability 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Solvability of equation  cyrrussmith  Abstract Algebra  2  June 4th, 2012 01:21 AM 
Are there issues with this?  CherryPi  Calculus  10  April 21st, 2012 11:23 PM 
Solvability of an illposed inverse problem  mrkdsmith  Linear Algebra  0  October 29th, 2011 02:07 AM 
Solvability of degree 4 equation  BSActress  Number Theory  8  October 17th, 2009 05:56 PM 
Solvability of Diophantine equation: axy + bx + cy = d  JC  Number Theory  3  August 4th, 2008 08:19 PM 