Find all roots of x4-x3+x2-x+1=0
L leyva2389 New member Joined Apr 14, 2013 Messages 21 Apr 16, 2013 #1 Find all roots of x4-x3+x2-x+1=0
L lookagain Elite Member Joined Aug 22, 2010 Messages 3,251 Apr 16, 2013 #2 leyva2389 said: Find all roots of x4-x3+x2-x+1=0 Click to expand... leyva2389, what level math are you in? I checked the solutions for this on another site. They are all complex. Are you sure this is the correct equation? I ask because I would expect students to give only approximate solutions to this. And, in general, you should write some work or questions you have regarding the problem.
leyva2389 said: Find all roots of x4-x3+x2-x+1=0 Click to expand... leyva2389, what level math are you in? I checked the solutions for this on another site. They are all complex. Are you sure this is the correct equation? I ask because I would expect students to give only approximate solutions to this. And, in general, you should write some work or questions you have regarding the problem.
D daon2 Senior Member Joined Aug 17, 2011 Messages 1,003 Apr 16, 2013 #3 leyva2389 said: Find all roots of x4-x3+x2-x+1=0 Click to expand... If this is over the real numbers, you can show, pretty easily, that your polynomial is always positive. For the complex case, use: \(\displaystyle x^4-x^3+x^2-x+1 = \dfrac{x^5+1}{x+1}\)
leyva2389 said: Find all roots of x4-x3+x2-x+1=0 Click to expand... If this is over the real numbers, you can show, pretty easily, that your polynomial is always positive. For the complex case, use: \(\displaystyle x^4-x^3+x^2-x+1 = \dfrac{x^5+1}{x+1}\)
