sedinalana
X1+x2=7,x1*x2=2 г x1³+x2³=(x1+x2)(x1²-x1*x2²)=(x1=x2)((x1+x2)²-2x1x2-x1x2)= =(x1+x2)((x1+x2)²-3x18x2)=7*(7²-3*2)=7*(49-6)=7*43=301 д x1³x2^6+x1^6x2³=(x1x2)³(x1³+x2³)=2³*301=8*301=2408 е x1^4+x2^4=(x1²+x2²)²-2(x1x2)²=[(x1+x2)²-2x1x2]²-2x1x2= =(7²-2*2)²-2*2=(49-4)²-4=45²-4=2025-4=2021
Answers & Comments
г
x1³+x2³=(x1+x2)(x1²-x1*x2²)=(x1=x2)((x1+x2)²-2x1x2-x1x2)=
=(x1+x2)((x1+x2)²-3x18x2)=7*(7²-3*2)=7*(49-6)=7*43=301
д
x1³x2^6+x1^6x2³=(x1x2)³(x1³+x2³)=2³*301=8*301=2408
е
x1^4+x2^4=(x1²+x2²)²-2(x1x2)²=[(x1+x2)²-2x1x2]²-2x1x2=
=(7²-2*2)²-2*2=(49-4)²-4=45²-4=2025-4=2021