已知x的二次方减3x加1等于0,求x+1⼀x与x的二次方加x的二次方分之一的值.

2025-03-31 20:11:56
推荐回答(2个)
回答1:

x的二次方减3x加1等于0
x-3+1/x=0
x+1/x=3

(x+1/x)^2=9
x^2+1/x^2+2=9
x^2+1/x^2=7

回答2:

x^2-3x+1=0
方程两边同除以x,得:
x-3+1/x=0
x+1/x=3
(x+1/x)^2=9
x^2+2+1/x^2=9
x^2+1/x^2=7