问题
计算题
解下列方程:
(1)x(x+2)﹣x﹣2=0;
(2)x2﹣6x+1=0.
答案
(1)解:x(x+2)﹣x﹣2=0,
x(x+2)﹣(x+2)=0,
(x+2)(x﹣1)=0,
x+2=0,x﹣1=0,
解得x1=﹣2,x2=1;
(2)解:x2﹣6x+1=0,
x2﹣6x+9﹣8=0,
(x﹣3)2=8,
x﹣3=±2,
x1=3+2,x2=3﹣2
.
解下列方程:
(1)x(x+2)﹣x﹣2=0;
(2)x2﹣6x+1=0.
(1)解:x(x+2)﹣x﹣2=0,
x(x+2)﹣(x+2)=0,
(x+2)(x﹣1)=0,
x+2=0,x﹣1=0,
解得x1=﹣2,x2=1;
(2)解:x2﹣6x+1=0,
x2﹣6x+9﹣8=0,
(x﹣3)2=8,
x﹣3=±2,
x1=3+2,x2=3﹣2
.