问题
解答题
解方程:
(1)x2-4x+2=0
(2)3x(x-1)=2(x-1)
答案
(1)x2-4x+2=0
移项得:x2-4x=-2
配方得:x2-4x+4=-2+4
即:(x-2)2=2
解得:x=2+
或x=2-2 2
(2)3x(x-1)=2(x-1)
移项得:3x(x-1)-2(x-1)=0,
提公因式(x-1)得:(x-1)(3x-2)=0
解得:x=1或x=2 3
解方程:
(1)x2-4x+2=0
(2)3x(x-1)=2(x-1)
(1)x2-4x+2=0
移项得:x2-4x=-2
配方得:x2-4x+4=-2+4
即:(x-2)2=2
解得:x=2+
或x=2-2 2
(2)3x(x-1)=2(x-1)
移项得:3x(x-1)-2(x-1)=0,
提公因式(x-1)得:(x-1)(3x-2)=0
解得:x=1或x=2 3