customer数学题目额

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/05/15 11:05:23

customer数学题目额
已知x+1/x=3,求x^2/(x^4+x^2+1)的值

x+1/x=3
两边乘x
x²+1=3x
两边平方
x^4+2x²+1=9x²
x^4+1=7x²
所以原式=x²/(7x²+x²)
=x²/8x²
=1/8

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