问题 解答题
用适当的方法解方程
①x2+3x-4=0;                      ②(y-3)2+3(y-3)+2=0
③(x-1)(x+3)=15                ④
x
x-2
-
x-1
x2-5x+6
=
2
x-3
答案

①(x-1)(x+4)=0,解得:x1=1,x2=-4;

②设y-3=a,则a2+3a+2=0,

解得:a1=2,a2=1,

∴y-3=2或y-3=1,

解得y1=5,y2=4;

③x2+2x-18=0,则a=1,b=2,c=-18,

∴x=1±

19

∴x1=1+

19
,x2=1-
19

x
x-2
-
x-1
(x-2)(x-3)
=
2
x-3

通分得:

x(x-3)-(x-1)-2(x-2)
(x-2)(x-3)
=0,

去分母得:x2-6x+5=0,

解得x1=1,x2=5.

单项选择题 A1型题
单项选择题