3(x-5)²=2(5-x) {用因式分解法解方程}
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 10:01:04
![3(x-5)²=2(5-x) {用因式分解法解方程}](/uploads/image/z/806486-14-6.jpg?t=3%EF%BC%88x-5%EF%BC%89%26%23178%3B%3D2%EF%BC%885-x%EF%BC%89+%EF%BD%9B%E7%94%A8%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E6%B3%95%E8%A7%A3%E6%96%B9%E7%A8%8B%EF%BD%9D)
3(x-5)²=2(5-x) {用因式分解法解方程}
3(x-5)²=2(5-x) {用因式分解法解方程}
3(x-5)²=2(5-x) {用因式分解法解方程}
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-13)=0
所以x-5=0或3x-13=0
所以x=5或x=13/3
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=0或3x-13=0
∴x=5或x=13/3
3(x-5)²+2(x-5)=0
(x-5)(3x-15+2)=0
所以x=5或者 x=13/3