Ответ:
Объяснение:
x²+px-15=0
x1+x2= -p
x1*x2= -15
а) 1/x1+1/x2= (x1+x2)/x1*x2= p/15
б) x₁²+x₂²= (x₁+x₂)²-2x₁x₂= (-p)²-2*(-15)= p²+30
в) x1/x2+ x2/x1= (x₁²+x₂²)/x₁x₂= -(p²+30)/15
г) x₁³+x₂³=(x₁+x₂)(x₁²-x₁x₂+x₂²)= (-p)(p²+30+15)= (-p)(p²+45)= -p³-45p
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Ответ:
Объяснение:
x²+px-15=0
x1+x2= -p
x1*x2= -15
а) 1/x1+1/x2= (x1+x2)/x1*x2= p/15
б) x₁²+x₂²= (x₁+x₂)²-2x₁x₂= (-p)²-2*(-15)= p²+30
в) x1/x2+ x2/x1= (x₁²+x₂²)/x₁x₂= -(p²+30)/15
г) x₁³+x₂³=(x₁+x₂)(x₁²-x₁x₂+x₂²)= (-p)(p²+30+15)= (-p)(p²+45)= -p³-45p