- #1
Delta31415
- 90
- 8
1) the problem
I understand Newton's method and I was able to find all the real roots of the function.However, I don't understand how to find the complex roots. I know that z=x+yi, and that I can plug in z for the formula. However I, don't know how to change the function ( x^8-7x^7+14x^6-14x^5+27x^4-14x^3+14x^2-7x+1) to into complex form. because of that I don't know what the initial value would.
2) Relevant equations
Newton's method and z=x+yi)
3) attempts
found real roots
btw the function I wrote is the one I am solving,however that doesn't matter I just need to know how to find the complex roots for any function given in that form.
I understand Newton's method and I was able to find all the real roots of the function.However, I don't understand how to find the complex roots. I know that z=x+yi, and that I can plug in z for the formula. However I, don't know how to change the function ( x^8-7x^7+14x^6-14x^5+27x^4-14x^3+14x^2-7x+1) to into complex form. because of that I don't know what the initial value would.
2) Relevant equations
Newton's method and z=x+yi)
3) attempts
found real roots
btw the function I wrote is the one I am solving,however that doesn't matter I just need to know how to find the complex roots for any function given in that form.