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/x+1/(x+3)+1/(x+5) = 1/(x+7) 的解.
题型：方程
解:原方程：
| 1 | ÷ | x | + | 1 | ÷ | ( | x | + | 3 | ) | + | 1 | ÷ | ( | x | + | 5 | ) | = | 1 | ÷ | ( | x | + | 7 | ) |
| 方程两边同时乘以： | x | , | ( | x | + | 7 | ) |
| 1 | ( | x | + | 7 | ) | + | 1 | ÷ | ( | x | + | 3 | ) | × | x | ( | x | + | 7 | ) | + | 1 | ÷ | ( | x | + | 5 | ) | × | x | ( | x | + | 7 | ) | = | 1 | x |
| 1 | x | + | 1 | × | 7 | + | 1 | ÷ | ( | x | + | 3 | ) | × | x | ( | x | + | 7 | ) | + | 1 | ÷ | ( | x | + | 5 | ) | × | x | ( | x | + | 7 | ) | = | 1 | x |
| 1 | x | + | 7 | + | 1 | ÷ | ( | x | + | 3 | ) | × | x | ( | x | + | 7 | ) | + | 1 | ÷ | ( | x | + | 5 | ) | × | x | ( | x | + | 7 | ) | = | 1 | x |
| 方程两边同时乘以： | ( | x | + | 3 | ) |
| 1 | x | ( | x | + | 3 | ) | + | 7 | ( | x | + | 3 | ) | + | 1 | x | ( | x | + | 7 | ) | + | 1 | ÷ | ( | x | + | 5 | ) | × | x | ( | x | + | 7 | ) | = | 1 | x | ( | x | + | 3 | ) |
| 1 | x | x | + | 1 | x | × | 3 | + | 7 | ( | x | + | 3 | ) | + | 1 | x | ( | x | + | 7 | ) | + | 1 | = | 1 | x | ( | x | + | 3 | ) |
| 1 | x | x | + | 1 | x | × | 3 | + | 7 | ( | x | + | 3 | ) | + | 1 | x | ( | x | + | 7 | ) | + | 1 | = | 1 | x | x | + | 1 | x | × | 3 |
| 1 | x | x | + | 3 | x | + | 7 | ( | x | + | 3 | ) | + | 1 | x | ( | x | + | 7 | ) | + | 1 | ÷ | ( | x | + | 5 | ) | = | 1 | x | x | + | 3 | x |
| 方程两边同时乘以： | ( | x | + | 5 | ) |
| 1 | x | x | ( | x | + | 5 | ) | + | 3 | x | ( | x | + | 5 | ) | + | 7 | ( | x | + | 3 | ) | ( | x | + | 5 | ) | + | 1 | x | = | 1 | x | x | ( | x | + | 5 | ) | + | 3 | x | ( | x | + | 5 | ) |
| 1 | x | x | x | + | 1 | x | x | × | 5 | + | 3 | x | ( | x | + | 5 | ) | + | 7 | = | 1 | x | x | ( | x | + | 5 | ) | + | 3 | x | ( | x | + | 5 | ) |
| 1 | x | x | x | + | 1 | x | x | × | 5 | + | 3 | x | ( | x | + | 5 | ) | + | 7 | = | 1 | x | x | x | + | 1 | x | x | × | 5 | + | 3 | x | ( | x | + | 5 | ) |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | ( | x | + | 5 | ) | + | 7 | ( | x | + | 3 | ) | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | ( | x | + | 5 | ) |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 3 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | ( | x | + | 5 | ) |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 3 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 3 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 50 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 50 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 50 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
| 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 71 | x | = | 1 | x | x | x | + | 5 | x | x | + | 3 | x | x | + | 15 | x |
方程的解为：
x1≈-8.833060 ，保留6位小数
x2≈-4.277413 ，保留6位小数
x3≈-1.389527 ，保留6位小数
有 3个解。
解程的详细方法请参阅：《方程的解法》
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