已知x+1/x=3求x2/x4+x2+1的值

来源：学生作业帮助网编辑：六六作业网时间：2024/12/25 16:28:34

已知x+1/x=3求x2/x4+x2+1的值已知x+1/x=3求x2/x4+x2+1的值已知x+1/x=3求x2/x4+x2+1的值x2/x4+x2+1上下除以x^2=1/(x^2+1+1/x^2)=

已知x+1/x=3求x2/x4+x2+1的值
已知x+1/x=3求x2/x4+x2+1的值

已知x+1/x=3求x2/x4+x2+1的值
x2/x4+x2+1 上下除以x^2
=1/(x^2+1+1/x^2)
=1/[(x+1/x)^2-1]
=1/(9-1)
=1/8

（x^4+x^2+1)/x^2
=x²+1+1/x²
=(x+1/x)²-1
=3²-1
=8
∴x2/(x4+x2+1)=1/8

x2/x4+x2+1 分子分母同除以x2得
=1/(x^2+1+1/x^2)
=1/[(x+1/x)^2-1]
=1/(9-1)
=1/8

已知x+1/x=3 求x2+1/x2和1/x4+x4 已知x2+x+1=0 求x4+1/x4 已知x2-x-1=0,求x4+1/x4 x+1/x=3,求x2/x4+x2+1 已知x2+3x+1=0,求x2/x4+3x2+1的值已知x2-3x+1=0,求代数式x2/x4+3x2+1 已知X2-3X+1=0,求X2/X4+3X2+1的值是多少? 已知x2-3x+1=0,求x2/x4+x2+1的值已知x/x2-x+1=1/7,求x2/x4+x2+1 已知x/x2-x+1=7,求x2/x4+x2+1 已知x+1/x=3求x2/x4+x2+1的值已知X2-X-1=0求,X5-X4-3X3+3X2+X的值已知x2-3x+1=0,求x4-6x3+4x2+15x+2 已知f(x2+1)=x4+5x2-3 求f(x) 求过程解答 x2-3x+1=0 x2/(x4-x2+1) 已知 x÷(x2-x+1)=1/3,求x2÷(x4+x2+1)的值已知x2-3x+1=0,求x2/x4+1的值已知X=(4-根号7)/3,那么求x2/(x4+x2+1) 的值