问题
解答题
(1)x2-2x-3=0
(2)2x2+5x-1=0
(3)(2x-3)2-121=0
(4)(x-3)2=2(3-x)
答案
(1)(x-3)(x+1)=0,
x-3=0或x+1=0,
所以x1=3,x2=-1;
(2)△=52-4×2×1=17,
x=
,-5± 17 2×2
所以x1=
,x2=-5+ 17 4
;-5- 17 4
(3)(2x-3)2=121,
2x-3=±11,
所以x1=7,x2=-4;
(4)(x-3)2+2(x-3)=0,
(x-3)(x-3+2)=0,
x-3=0或x-3+2=0,
所以x1=3,x2=1.