如X+1⼀X=3,X四次方+1⼀X四次方等于多少

2025-05-21 21:30:34
推荐回答(4个)
回答1:

X4+1/X4
=(X²+1/X²)²-2

X²+1/X²=(X+1/X)²-2=7

则(X²+1/X²)²-2
=49-2
=47

回答2:

(x+1/x)平方等于9,然后在平方就可以了

回答3:

x+1/x=3
∴x²+1/x²=(x+1/x)²-2=9-2=7
x^4+1/x^4=(x²+1/x²)²-2=7²-2=47

回答4:

47
两边平方,再平方