March 30th, 2014, 04:57 PM  #1 
Newbie Joined: Mar 2014 From: illinois, usa Posts: 9 Thanks: 0  Need help
Please, I'm new here and I need examples of five degree equations in one variable. . If possible guide me to websites that contains equations with five to n degree Waiting your help as soon as possible, and sorry about my English. Regards 
March 30th, 2014, 05:03 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,950 Thanks: 1141 Math Focus: Elementary mathematics and beyond  
March 30th, 2014, 05:56 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,814 Thanks: 2155 
(x  a)(x  b)(x  c)(x  d)(x  e) = 0 (Just give a, b, c, d and e constant values of your choice, and those values will be the solutions of the equation.) 
March 30th, 2014, 07:48 PM  #4  
Newbie Joined: Mar 2014 From: illinois, usa Posts: 9 Thanks: 0  Quote: I don't know if I asked the right question, What I mean is like this a.x^n+b.x^n1+....=0 (n=5, or n=6, or n=7.... etc) Ex: a.x^5+b.x^4c.x^3+....=0  
March 30th, 2014, 07:53 PM  #5  
Newbie Joined: Mar 2014 From: illinois, usa Posts: 9 Thanks: 0  Quote:
I'm not looking for given solutions or lessons All what I need a lot examples of equations five degree & above as I mentioned. . Only examples without resolves (solutions) Sorry again for my bad English Last edited by L2014; March 30th, 2014 at 07:57 PM.  
March 31st, 2014, 02:51 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 20,814 Thanks: 2155 
Why do you want examples from websites rather than examples you invent at random (most of which couldn't be solved algebraically)?

March 31st, 2014, 04:08 AM  #7  
Newbie Joined: Mar 2014 From: illinois, usa Posts: 9 Thanks: 0  Quote:
How do I invent at random!!!!? We have to give the right values for a and b. . Etc to get =0 true It's no matter if from websites or from here, I only need examples True examples, how it look? Documents, links any help I will appreciate Thx to all  
April 1st, 2014, 05:31 AM  #8 
Newbie Joined: Mar 2014 From: illinois, usa Posts: 9 Thanks: 0 
Quintic equations Examples please. . 
April 1st, 2014, 08:32 AM  #9 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,671 Thanks: 2651 Math Focus: Mainly analysis and algebra 
You can create your own by expanding $$\prod_{i=1}^{5}{(x  a_i)}$$ where the $a_i$ are whatever roots you decide to select (and all will be solveable). You could even replace a pair of real roots with a quadratic having no real solutions. Or, you can create $$\sum_{i=0}^{5}{a_i x^i}$$ to get (probably) insolvable equations. Both are approaches that have already been suggested. Why do we have to do the (trivial) work of selecting five or six numbers for you? 
April 1st, 2014, 08:34 AM  #10 
Global Moderator Joined: Dec 2006 Posts: 20,814 Thanks: 2155 
Are you now saying you want examples which do have solutions, but without being told what the solutions are? If so, does it matter how many real solutions there are? For example, polynomials of odd degree must have at least one real zero, no matter what the values of the coefficients are (so you could use random values for the coefficients).
