问题
解答题
(1)解方程:x2+2x-3=0
(2)解方程:3x2=6x-2.
答案
(1)∵(x+3)(x-1)=0,
∴x+3=0或x-1=0,
∴x1=-3,x2=1;
(2)移项得3x2-6x+2=0,
∵△=36-4×3×2=12,
∴x=
=6± 12 2×3
,3± 3 3
∴x1=
,x2=3+ 3 3
.3- 3 3
(1)解方程:x2+2x-3=0
(2)解方程:3x2=6x-2.
(1)∵(x+3)(x-1)=0,
∴x+3=0或x-1=0,
∴x1=-3,x2=1;
(2)移项得3x2-6x+2=0,
∵△=36-4×3×2=12,
∴x=
=6± 12 2×3
,3± 3 3
∴x1=
,x2=3+ 3 3
.3- 3 3