这几题求解呀,谢谢了

2025-04-06 00:53:13
推荐回答(4个)
回答1:

(1) (x-1/x)^2=3^2=9 x^2+1/x^2-2=9 x^2+1/x^2=11 (x^2+1/x^2)^2=11^2 xZ^4+1/x^4+2=121 x^4+1/x^4=121-2=119
(2) 2xy=(x+y)^2-(x^2+y^2)=16-10=6 (x-y)^2=x^2+y^2-2xy=10-6=4 x-y=±2 x^2-y^2=(x-2)(x+2)=±8

回答2:

  1. ∵x-1/x=3

∴(x-1/x)^2=9

x^2+1/x^2=11

∴x^4+1/x^4

=(x^2+1/x^2)^2-2

=11^2-2

=119

2.2xy=(x+y)^2-(x^2+y^2)

        =16-10=6


(x-y)^2=x^2+y^2-2xy

              =10-[(x+y)^2-(x^2+y^2)]

                =10-[16-10]

              =10-6

             =4

x-y=√x^2+y^2-2xy

    =√10-[(x+y)^2-(x^2+y^2)]

    =√10-[16-10]

    =√4

    =2

x^2-y^2=(x+y)(x-y)

           =4*√x^2+y^2-2xy

          =4*√10-[(x+y)^2-(x^2+y^2)]

         =4*   √10-[16-10]

          =4*√4

          =4*2=8)

         (*是乘的意思,x^2是x的2次方)



回答3:

(1)119
(2)6 4 2 8

回答4: