已知x+1⼀x=3,求(1)x^2+1⼀x^2(2)(x-1⼀x)^2

2024-12-13 17:37:40
推荐回答(2个)
回答1:

x+1/x=3
(1)x^2+1/x^2=(x+1/x)^2-2=9-2=7
(2)(x-1/x)^2=x^2+1/x^2-2=7-2=5

回答2:

x+1/x=3,求(1)x^2+1/x^2(2)(x-1/x)^2
(1) x^2+ 1 /x^2=(x+ 1/x)^2 -2=3^2 -2=7
(2) (x-1/x)^2 = (x+ 1/x)^2 - 4=3^2 -4=5