Finding Real Roots Using Iteration: How to Choose Starting Values

[bemigh]

Hey everyone, I'm not sure where I am going wrong here...
I need to find the 3 roots of the following equation:
x^3 - (6.2)x^2-11x-5=0
and i need to find the real roots using the technique of iteration. I understand this technique, however I am not sure which values i should start off testing...(which x1)
Any help would be appreciated...
Steph

 

[stunner5000pt]

this may be misleading but here goes anyway...

do you mena fixed point iteration s.t. you rearrance f(x) to get a convergent sequence? Well pick intervals like [0,1] [1,2] and find the deriavtie at the end points. also find the function at the endpoints
if the the function at one point is negative while hte other is potivie you have a root in that interval and pick maybe the midpoint of the interval since your sequence would converge anyway.