Check for typo's in the question.
I believe there is only one real root for the given equation at -1.
So your initial guesses have to be complex, such as 1+i. Convergence will depend on the form of the iteration equation.
You can try
and all kinds of other ones.
The one that seems to converge best is
divide by x and take the square root to get
With a starting value of 1+i, ou should converge quite well, as the iterations alternate between the targeted root of (1/2)±sqrt(7)/2.
Once you have converged to one, you can take the conjugate for the other, without having to do the same things all over again.
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