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saymonw
@saymonw
June 2022
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Помогите с №4 пожалуйста!
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mikael2
Verified answer
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)
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Answers & Comments
Verified answer
X²+px-15=0 ⇒ x1*x2= -15 x1+x2=-p1/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)