用配方法解方程3x^2-6x+1=0

2025-04-14 21:58:01
推荐回答(2个)
回答1:

3x^2-6x+1=0;3(x^2-2x+1)-2=0;3(x-1)^2-2=0;{根号3(x-1)+根号2}{根号3(x-1)-根号2}=0;根号3(x-1)+根号2=0,x-1=-根号6/3,x=1-根号6/3;根号3(x-1)-根号2=0,x-1=根号6/3,x=1+根号6/3;

回答2:

3(x-1)�0�5-2=0(x-1)�0�5=2/3x-1= 2/3 x-1=-2/3x=5/3 x=1/3