问题 解答题
利用换元法解下列方程:
(1)(x+2)2+6(x+2)-91=O;
(2)x2-(1+2
3
)x-3+
3
=0.
答案

(1)(x+2)2+6(x+2)-91=O;

设x+2=y,则原方程可变形为:

y2+6y-91=0,

解得:y1=7,y2=-13,

当y1=7时,x+2=7,

x1=5,

当y2=-13时,x+2=-13,

x2=-15;

(2)x2-(1+2

3
)x-3+
3
=0,

[x-(3+

3
)][x+(2-
3
)]=0,

x-(3+

3
)=0,x+(2-
3
)=0,

x1=3+

3
,x2=-2+
3

判断题
判断题