天刀长风林坐标:数学初一问题,高手来。

来源:百度文库 编辑:神马品牌网 时间:2024/05/02 18:07:15
(4)已知x^2-4x+1=0,求x^2+x^-2值

x^2-4x+1=0
x^2-4x+4=-1+4
(x-2)^2=3
x-2=+-根号3
x=2+根号3或x=2-根号3
x^2+x^-2
=14

x^2-4x+1=0
x-4+1/x =0
x+1/x =4
x^2+x^-2 =(x+1/x)^2 -2*x*1/x
=14