Hi all

I try to devellop an algorithm to find roots of any polynom using the Newton Raphson method

x = x - fx/f'x

for ex f(x) = x^5 -3^2 + 4

x = x - (x^5 -3^2 + 4) / (5*x^4 -6*x)

and repeat for each result of x until you get f(x) = 0

the problem is the method get only one solution according to the first x we choose

questions

which x to choose for xo ?

and how to know if the are another solution ?

Thanks in advance