若√(7-2)²=x-7,√(x-13)²=13-x,化简:│6-x│+│x-16│
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 17:49:09
![若√(7-2)²=x-7,√(x-13)²=13-x,化简:│6-x│+│x-16│](/uploads/image/z/2496507-51-7.jpg?t=%E8%8B%A5%E2%88%9A%EF%BC%887-2%EF%BC%89%26%23178%3B%3Dx-7%2C%E2%88%9A%EF%BC%88x-13%29%26%23178%3B%3D13-x%2C%E5%8C%96%E7%AE%80%EF%BC%9A%E2%94%826-x%E2%94%82%2B%E2%94%82x-16%E2%94%82)
若√(7-2)²=x-7,√(x-13)²=13-x,化简:│6-x│+│x-16│
若√(7-2)²=x-7,√(x-13)²=13-x,化简:│6-x│+│x-16│
若√(7-2)²=x-7,√(x-13)²=13-x,化简:│6-x│+│x-16│
√(7-x)²=x-7,√(x-13)²=13-x
∴﹛x-7≥0 x≥7
13-x≥0 x≤13
∴7≤x≤13
|6-x|+|x-16|
=x-6+16-x
=16-6
=10