作业帮x+1/x=6,则x^2+1/x^2=,(x-1/x)^2
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/30 08:13:19
x+1/x=6,则x^2+1/x^2=,(x-1/x)^2
x+1/x=6,则x^2+1/x^2=,(x-1/x)^2
x+1/x=6,则x^2+1/x^2=,(x-1/x)^2
x^2+1/x^2
=(x+1/x)^2-2
=6^2-2
=36-3
=34
(x-1/x)^2
=(x+1/x)^2-4
=6^2-4
=36-4
=32
x^2+1/x^2=x²+1/x²+2-2=(x+1/x)²-2=6²-2=34
(x-1/x)^2 =x²+1/x²-2=34-2=32
x^2+1/x^2=34
(x-1/x)^2 =32
因为x+1/x=6，所以（x+1/x）^2=x^2+1/x^2+2=36
得出x^2+1/x^2=34
（x-1/x）^2=x^2+1/x^2-2=34-2=32
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