问题
解答题
解方程:
(1)x(x+2)=5(x+2);
(2)(x-2)2=(2x+3)2.
答案
(1)移项得:x(x+2)-5(x+2)=0,
(x+2)(x-5)=0,
x+2=0,x-5=0,
解得:x1=-2,x2=5;
(2)两边开方得:x-2=±(2x+3),
x-2=2x+3,x-2=-(2x+3)
解得:x1=-5,x2=-
.1 3
解方程:
(1)x(x+2)=5(x+2);
(2)(x-2)2=(2x+3)2.
(1)移项得:x(x+2)-5(x+2)=0,
(x+2)(x-5)=0,
x+2=0,x-5=0,
解得:x1=-2,x2=5;
(2)两边开方得:x-2=±(2x+3),
x-2=2x+3,x-2=-(2x+3)
解得:x1=-5,x2=-
.1 3