Question

这道数学题怎么做 详细点。

Answer 1

依题意的（x²-x+1）/x=1/7 化的x+1/x=8 左右平方的 x²+1/x² =66 同样（x⁴+x²+1）/x=x²+1+1/x²=66+1=67 所以x/（x⁴+x²+1）=1/67

Answer 2

x/(x2-x+1)=7
1/[(x-1+(1/x)]=7
x+(1/x)=8/7

x^2/(x^4+x^2+1)
=1/(x^2+1+(1/x^2))
=1/[(x+(1/x))^2-1]
=1/[(8/7)^2-1]
=49/15