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in the method -Theory of Fixed Point Iteration of x = g(x)

If the function g(x) has several roots, why sometimes we need to change the form of g(x) to find the other roots?

For example we can have x^{3}+3x^{2}+x+4,

one form can be x= -x^{3}-3x^{2}-4

or

another form can be

x=sqrt(-x^{3}-3x^{2}-4) / sqrt (3)

those two forms converge into diffrent values.WHY?

Thank you

Brad

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# Calculation method

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