在线解一元方程：
直接输入任意的一元方程，然后点击“下一步”按钮，即可获得方程的解。
它支持包含数学函数的方程。
直接输入任意的一元方程，然后点击“下一步”按钮，即可获得方程的解。
它支持包含数学函数的方程。
总述：本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业：求方程 1-1/(x+2)+1-1/(x+9) = 1-1/(x+3)+1-1/(x+8) 的解.
题型：方程
解:原方程：
| 1 | − | 1 | ÷ | ( | x | + | 2 | ) | + | 1 | − | 1 | ÷ | ( | x | + | 9 | ) | = | 1 | − | 1 | ÷ | ( | x | + | 3 | ) | + | 1 | − | 1 | ÷ | ( | x | + | 8 | ) |
| 方程两边同时乘以： | ( | x | + | 2 | ) | , | ( | x | + | 3 | ) |
| 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | ( | x | + | 3 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | ÷ | ( | x | + | 9 | ) | × | ( | x | + | 2 | ) | ( | x | + | 3 | ) | = | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | ( | x | + | 2 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | ÷ | ( | x | + | 8 | ) | × | ( | x | + | 2 | ) | ( | x | + | 3 | ) |
| 1 | x | ( | x | + | 3 | ) | + | 1 | × | 2 | ( | x | + | 3 | ) | − | 1 | ( | x | + | 3 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | = | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | ( | x | + | 2 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | ÷ | ( | x | + | 8 | ) | × | ( | x | + | 2 | ) | ( | x | + | 3 | ) |
| 1 | x | ( | x | + | 3 | ) | + | 1 | × | 2 | ( | x | + | 3 | ) | − | 1 | ( | x | + | 3 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | = | 1 | x | ( | x | + | 3 | ) | + | 1 | × | 2 | ( | x | + | 3 | ) | − | 1 | ( | x | + | 2 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 |
| 1 | x | ( | x | + | 3 | ) | + | 2 | ( | x | + | 3 | ) | − | 1 | ( | x | + | 3 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | ÷ | ( | x | + | 9 | ) | = | 1 | x | ( | x | + | 3 | ) | + | 2 | ( | x | + | 3 | ) | − | 1 | ( | x | + | 2 | ) | + | 1 | ( | x | + | 2 | ) | ( | x | + | 3 | ) | − | 1 | ÷ | ( | x | + | 8 | ) |
| 方程两边同时乘以： | ( | x | + | 9 | ) | , | ( | x | + | 8 | ) |
| 1 | x | ( | x | + | 3 | ) | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 9 | ) | ( | x | + | 8 | ) | − | 1 | ( | x | + | 3 | ) | ( | x | + | 9 | ) | = | 1 | x | ( | x | + | 3 | ) | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 9 | ) | ( | x | + | 8 | ) | − | 1 | ( | x | + | 2 | ) | ( | x | + | 9 | ) |
| 1 | x | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 1 | x | × | 3 | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) | = | 1 | x | ( | x | + | 3 | ) | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 9 | ) | ( | x | + | 8 | ) | − | 1 | ( | x | + | 2 | ) | ( | x | + | 9 | ) |
| 1 | x | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 1 | x | × | 3 | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) | = | 1 | x | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 1 | x | × | 3 | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) |
| 1 | x | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 3 | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 9 | ) | = | 1 | x | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 3 | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 9 | ) |
| 1 | x | x | x | ( | x | + | 8 | ) | + | 1 | x | x | × | 9 | ( | x | + | 8 | ) | + | 3 | x | = | 1 | x | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 3 | x | ( | x | + | 9 | ) | ( | x | + | 8 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 9 | ) |
| 1 | x | x | x | ( | x | + | 8 | ) | + | 1 | x | x | × | 9 | ( | x | + | 8 | ) | + | 3 | x | = | 1 | x | x | x | ( | x | + | 8 | ) | + | 1 | x | x | × | 9 | ( | x | + | 8 | ) | + | 3 | x |
| 1 | x | x | x | ( | x | + | 8 | ) | + | 9 | x | x | ( | x | + | 8 | ) | + | 3 | x | ( | x | + | 9 | ) | = | 1 | x | x | x | ( | x | + | 8 | ) | + | 9 | x | x | ( | x | + | 8 | ) | + | 3 | x | ( | x | + | 9 | ) |
| 1 | x | x | x | x | + | 1 | x | x | x | × | 8 | + | 9 | x | = | 1 | x | x | x | ( | x | + | 8 | ) | + | 9 | x | x | ( | x | + | 8 | ) | + | 3 | x | ( | x | + | 9 | ) |
| 1 | x | x | x | x | + | 1 | x | x | x | × | 8 | + | 9 | x | = | 1 | x | x | x | x | + | 1 | x | x | x | × | 8 | + | 9 | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x | = | 1 | x | x | x | x | + | 8 | x | x | x | + | 9 | x | x |
| x1= | - | 11 2 |
有 1个解。
解一元一次方程的详细方法请参阅：《一元一次方程的解法》
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