已知x+x⼀1=3,求(x-x⼀1)눀的值

2025-03-07 00:41:41
推荐回答(4个)
回答1:

x/1应是1/x吧,
x+1/x=3两边平方得x²+1/x²+2=9,
所以x²+1/x²=7,
所以(x-1/x)²=x²+1/x²-2=5

回答2:

x+1/x=3,
(x-1/x)²
=x²-2+1/x²
=x²+2+1/x²-4
=(x+1/x)²-4
=3²-4
=5

回答3:

5

回答4:

(x-x/1)²
=x²-2+x²/1
=x²+2+x²/1-4
=(x+x/1)²-4
=3²-4
=5