问题
解答题
解方程(1)x2+3x=4(2)(x-1)2+2x(x-1)=0.
答案
(1)x2+3x=4,
x2+3x-4=0,
(x+4)(x-1)=0,
∴x+4=0,x-1=0,
∴x1=1.x2=-4.
(2)(x-1)2+2x(x-1)=0,
(x-1)(x-1+2x)=0,
(x-1)(3x-1)=0,
x-1=0,3x-1=0,
∴x1=1.x2=
.1 3
解方程(1)x2+3x=4(2)(x-1)2+2x(x-1)=0.
(1)x2+3x=4,
x2+3x-4=0,
(x+4)(x-1)=0,
∴x+4=0,x-1=0,
∴x1=1.x2=-4.
(2)(x-1)2+2x(x-1)=0,
(x-1)(x-1+2x)=0,
(x-1)(3x-1)=0,
x-1=0,3x-1=0,
∴x1=1.x2=
.1 3