已知x+1⼀x=6 (1)求x^2+1⼀x^2的值 (2)求(x-1⼀x)^2的值

2024-12-14 11:34:47
推荐回答(3个)
回答1:

x+1/x=6
(1)(x+1/x)^2=x^2+1/x^2+2=36
所以x^2+1/x^2=34
(2)x^2+1/x^2=x^2+1/x^2-2
=34-2
=32

回答2:

x^2+1/x^2
=(x+1/x)^2-2
=6^2-2
=34
(x-1/x)^2
=(x+1/x)^2-4
=6^2-4
=32

回答3:

x+1/x=6
(1)
x^2+1/x^2
=(x+1/x)²-2
=36-2
=34

(2)
(x-1/x)^2
=x²+1/x²-2
=34-2
=32