X/（X2-X+1）=1/6求：X2/(X4-3X2+1)=?

题目详情

X/（X2-X+1）=1/6 求：X2/(X4-3X2+1)=?

▼优质解答

答案和解析

X/（X2-X+1）=1/6
1/(x+1/x-1)=1/6
x+1/x=7
x^2+1/x^2=47
X2/(X4-3X2+1)
=1/(x^2+1/x^2-3)
=1/(47-3)
=1/44

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