用因式分解法解下列方程3(x-5)²=2(5-x)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/27 22:13:50
用因式分解法解下列方程3(x-5)²=2(5-x)

用因式分解法解下列方程3(x-5)²=2(5-x)
用因式分解法解下列方程3(x-5)²=2(5-x)

用因式分解法解下列方程3(x-5)²=2(5-x)
3(x-5)²=2(5-x)
3(x-5)²-2(5-x)=0
3(x-5)²+2(x-5)=0
(x-5)[3(x-5)+2]=0
(x-5)[3x-15+2]=0
(x-5)[3x-13]=0
x=5或x=13/3

3(x-5)²-2(5-x)=3(x-5)²+2(x-5)=(x-5)((3x-5)+2)=(x-5)(3x-3)
=3(x-5)(x-1)

3(x-5)²=2(5-x)
3(x-5)²-2(5-x)=0
3(x-5)²+2(x-5)=(x-5)(3x-13)=0
x1=5,x2=13/3.

3(x-5)²-2(5-x)=0
3(x-5)²+2(x-5)=0
(x-5)(3x-15+2)=0
(x-5)(3x-13)=0
所以 x=5 或者13/3