Question

Помогите с №4 пожалуйста!

Answer 1

x²+px-15=0  ⇒ x1*x2= -15    x1+x2=-p

1/x1+1/x2= (x1+x2)/x1x2= -p/-15=p/15

x1²+x2² =(x1+x2)² -2x1*x2=p²+30

x1/x2+x2/x1=(x1²+x2²)/x1*x2 = -(p²+30)/15

x1³+x2³=(x1+x2)(x1²-x1x2+x2²)= -p*(p²+30+15)=-p(p²+45)