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taisasnitko

X1+X2=5/2=2,5    x1·x2=-2--т.Виета

1)(1/x1+1/x2)²=1/x1²+1/x2²+2/x1x2⇒ 1/x1²+1/x2²=((x2+x1)/x1x2)²-2/x1x2.

1/x1²+1/x2²=(2,5/(-2))²+2/2=(-1,25)²+1=25/16+1=2 9/16.

2)  x1x2^4+x2x1^4=x1x2(x2³+x1³)=x1x2·(x1+x2)(x1²-x1x2+x2²)= -2·5/2(x1²+x2²+2)=

= -5·((x1+x2)²-2x1x2)+2)=-5·((5/2)²+4)+2)=-5·12,25=-61,25.

(проверяй вычисления)

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