已知x/x²+x-1=1/9,求x²/x四次方+x²+1
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已知x/x²+x-1=1/9,求x²/x四次方+x²+1
已知x/x²+x-1=1/9,求x²/x四次方+x²+1
已知x/x²+x-1=1/9,求x²/x四次方+x²+1
x/(x²+x-1)=1/9
→x-1/x=8.
∴(x-1/x)²=64
→x²+1/x²=66.
∴x²/(x^4+x²+1)
=1/[(x²+1/x²)+1]
=1/(66+1)
=1/67.
x/(x^2+x-1)=1/9题对吗