1002^2-1002*4+4896^2+208*896+104^2(181^2-61^2)/(301^2-181^2)已知x+(1/x)=-3,求x^2+(1/x^2)的值.

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1002^2-1002*4+4896^2+208*896+104^2(181^2-61^2)/(301^2-181^2)已知x+(1/x)=-3,求x^2+(1/x^2)的值.1002^2-1002*

1002^2-1002*4+4896^2+208*896+104^2(181^2-61^2)/(301^2-181^2)已知x+(1/x)=-3,求x^2+(1/x^2)的值.
1002^2-1002*4+4
896^2+208*896+104^2
(181^2-61^2)/(301^2-181^2)
已知x+(1/x)=-3,求x^2+(1/x^2)的值.

1002^2-1002*4+4896^2+208*896+104^2(181^2-61^2)/(301^2-181^2)已知x+(1/x)=-3,求x^2+(1/x^2)的值.
1002^2-1002*4+4 =(1002-2)^2=1000000
896^2+208*896+104^2=(896+104)^2=1000000
(181^2-61^2)/(301^2-181^2)
=(181+61)(181-61)/(301+181)(301-181)
=242x120/482x120
=121/241
x+(1/x)=-3,
两边平方,
x^2+(1/x^2)+2=9
x^2+(1/x^2)=9-2=7