已知x+1/x=3,则x²/x⁴+x²+1的值是
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/02 03:13:37
![已知x+1/x=3,则x²/x⁴+x²+1的值是](/uploads/image/z/5179776-24-6.jpg?t=%E5%B7%B2%E7%9F%A5x%2B1%2Fx%3D3%2C%E5%88%99x%26%23178%3B%2Fx%26%238308%3B%2Bx%26%23178%3B%2B1%E7%9A%84%E5%80%BC%E6%98%AF)
xRNP})+,-b`?1Z,VQIY 7W_[`dKHswT.Q8WBi
݊Px8!8FF\Cw.Ñ;|ѱ'3r1J1W62Ԡr8q)(r见v}Wn닠{:-xW{M=vFv8O>2h>h,cMwc4>?atlU6} <~AEՁ|Z ::#<գ;/卭Rqӹ}6'ɉmf
e@~ORba(N|U9dV/]_7BfɝS2
{,iXW
ŞFɱ'ɿ0QisHT/ZiS$y
Zb#kȱZ
bow1<p
已知x+1/x=3,则x²/x⁴+x²+1的值是
已知x+1/x=3,则x²/x⁴+x²+1的值是
已知x+1/x=3,则x²/x⁴+x²+1的值是
两边平方得x^2+1/x^2=7
原式=x^2/x^4+x^2+1=1/x^2+1+1/x^2
=1/7+1
=1/8
很高兴为您解答,祝你学习进步!【学习宝典】团队为您答题.
有不明白的可以追问!如果您认可我的回答.
请点击下面的【选为满意回答】按钮,谢谢!
x+1/x=3
∴﹙x⁴+x²+1﹚÷x²
=x²+1+1/x²
=x²+2+1/x²-1
=(x+1/x)²-1
=3²-1
=8
∴x²/x⁴+x²+1=1/8
x+1/x=3
x²+2+1/x²=9
x²+1/x²=7
x²/x⁴+x²+1
=1/(x²+1+1/x²)
=1/(7+1)
=1/8
x+1/x=3
所以x²+1/x²=(x+1/x)²-2=7
x²/(x四次方+x²+1)
=1/(x²+1+1/x²)
=1/8不懂的欢迎追问,如有帮助请采纳,谢谢!