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已知x/x² +x +1=1/4求x ²/x4-x²+1的值。
2025-04-03 03:38:15
推荐回答(1个)
回答1:

x/x� +x +1=1/4

[x^2+x+1]/x=4

x+1+1/x=4

x+1/x=3

[x^4-x^2+1]/x^2=x^2-1+1/x^2=[x+1/x]^2-2-1=3*3-3=6

x^2/[x^4-x^2+1]=1/6