Aplici formulele lui Viette
X1+x2=-S=-3
x1*x2=p=-1
1/x1²+1/x2²=(x2²+x1²)/(x1*x2)² RelatIa 1)
x1+x2=-3
x1²+x2²+2x1*x2=9
x1²+x2²+2*(-1)=9
x1²+x2²=9+2=11
Inlocuiesti in 1)
(x2²+x1²)/(x1*x2)²=9/(-1)²=9
Revin imediat
x1³+x2³=(x1+x2)(x1²+x2²-x1*x2)
=-3*(11-(-1))=-3*12= -36