<s>[INST] How to solve $x^4-2x^3-x^2+2x+1=0$? How to solve $x^4-2x^3-x^2+2x+1=0$?
Answer given is: $$\frac{1+\sqrt5}{2}$$
I tried solving it by taking common factors:
$$x^3(x-2)-x(x-2)+1=0  $$ $$x(x-2)(x^2-1)+1=0   $$ $$(x+1)(x)(x-1)(x-2)+1=0$$
But it's not leading me anywhere.
 [/INST] obten la raiz negativa de la siguiente funcion con 4 cifras decimales.
$2x^4-2x^3+x^2+3x-4=0 \quad\quad$ newton raphson
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