问题
解答题
解下列方程:
(1)x(x-3)=10
(2)2(x-3)2=x(x-3).
答案
(1)x(x-3)=10,
x2-3x-10=0,
(x-5)(x+2)=0,
x-5=0,x+2=0,
x1=5,x2=-2.
(2)2(x-3)2-x(x-3)=0,
(x-3)[2(x-3)-x]=0,
x-3=0,2(x-3)-x=0,
x1=3,x2=6.
解下列方程:
(1)x(x-3)=10
(2)2(x-3)2=x(x-3).
(1)x(x-3)=10,
x2-3x-10=0,
(x-5)(x+2)=0,
x-5=0,x+2=0,
x1=5,x2=-2.
(2)2(x-3)2-x(x-3)=0,
(x-3)[2(x-3)-x]=0,
x-3=0,2(x-3)-x=0,
x1=3,x2=6.