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:六六作业网 时间:2024/12/18 14:26:50
x+1/x=6,则x^2+1/x^2=,(x-1/x)^2x+1/x=6,则x^2+1/x^2=,(x-1/x)^2x+1/x=6,则x^2+1/x^2=,(x-1/x)^2x^2+1/x^2=(x+

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