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/(n-3)+1/(n+6))*3+1/(n+6)*(n-3) = 1 的解.
题型：方程
解:原方程：
| ( | 1 | ÷ | ( | n | − | 3 | ) | + | 1 | ÷ | ( | n | + | 6 | ) | ) | × | 3 | + | 1 | ÷ | ( | n | + | 6 | ) | × | ( | n | − | 3 | ) | = | 1 |
| 方程两边同时乘以： | ( | n | + | 6 | ) |
| ( | 1 | ÷ | ( | n | − | 3 | ) | + | 1 | ÷ | ( | n | + | 6 | ) | ) | × | 3 | ( | n | + | 6 | ) | + | 1 | ( | n | − | 3 | ) | = | 1 | ( | n | + | 6 | ) |
| 1 | ÷ | ( | n | − | 3 | ) | × | 3 | ( | n | + | 6 | ) | + | 1 | ÷ | ( | n | + | 6 | ) | × | 3 | ( | n | + | 6 | ) | + | 1 | ( | n | − | 3 | ) | = | 1 | ( | n | + | 6 | ) |
| 1 | ÷ | ( | n | − | 3 | ) | × | 3 | ( | n | + | 6 | ) | + | 1 | ÷ | ( | n | + | 6 | ) | × | 3 | ( | n | + | 6 | ) | + | 1 | ( | n | − | 3 | ) | = | 1 | n | + | 1 | × | 6 |
| 3 | ÷ | ( | n | − | 3 | ) | × | ( | n | + | 6 | ) | + | 3 | ÷ | ( | n | + | 6 | ) | × | ( | n | + | 6 | ) | + | 1 | ( | n | − | 3 | ) | = | 1 | n | + | 6 |
| 方程两边同时乘以： | ( | n | − | 3 | ) |
| 3 | ( | n | + | 6 | ) | + | 3 | ÷ | ( | n | + | 6 | ) | × | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | ( | n | − | 3 | ) | ( | n | − | 3 | ) | = | 1 | n | ( | n | − | 3 | ) | + | 6 | ( | n | − | 3 | ) |
| 3 | n | + | 3 | × | 6 | + | 3 | ÷ | ( | n | + | 6 | ) | × | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | ( | n | − | 3 | ) | ( | n | − | 3 | ) | = | 1 | n | ( | n | − | 3 | ) | + | 6 | ( | n | − | 3 | ) |
| 3 | n | + | 3 | × | 6 | + | 3 | ÷ | ( | n | + | 6 | ) | × | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | ( | n | − | 3 | ) | ( | n | − | 3 | ) | = | 1 | n | n | − | 1 | n | × | 3 | + | 6 | ( | n | − | 3 | ) |
| 3 | n | + | 18 | + | 3 | ÷ | ( | n | + | 6 | ) | × | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | ( | n | − | 3 | ) | ( | n | − | 3 | ) | = | 1 | n | n | − | 3 | n | + | 6 | ( | n | − | 3 | ) |
| 方程两边同时乘以： | ( | n | + | 6 | ) |
| 3 | n | ( | n | + | 6 | ) | + | 18 | ( | n | + | 6 | ) | + | 3 | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | ( | n | − | 3 | ) | ( | n | − | 3 | ) | ( | n | + | 6 | ) | = | 1 | n | n | ( | n | + | 6 | ) | − | 3 | n | ( | n | + | 6 | ) | + | 6 | ( | n | − | 3 | ) | ( | n | + | 6 | ) |
| 3 | n | n | + | 3 | n | × | 6 | + | 18 | ( | n | + | 6 | ) | + | 3 | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | = | 1 | n | n | ( | n | + | 6 | ) | − | 3 | n | ( | n | + | 6 | ) | + | 6 | ( | n | − | 3 | ) | ( | n | + | 6 | ) |
| 3 | n | n | + | 3 | n | × | 6 | + | 18 | ( | n | + | 6 | ) | + | 3 | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | = | 1 | n | n | n | + | 1 | n | n | × | 6 | − | 3 | n | ( | n | + | 6 | ) | + | 6 |
| 3 | n | n | + | 18 | n | + | 18 | ( | n | + | 6 | ) | + | 3 | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | ( | n | − | 3 | ) | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | ( | n | + | 6 | ) | + | 6 | ( | n | − | 3 | ) |
| 3 | n | n | + | 18 | n | + | 18 | n | + | 18 | × | 6 | + | 3 | ( | n | + | 6 | ) | ( | n | − | 3 | ) | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | ( | n | + | 6 | ) | + | 6 | ( | n | − | 3 | ) |
| 3 | n | n | + | 18 | n | + | 18 | n | + | 18 | × | 6 | + | 3 | ( | n | + | 6 | ) | ( | n | − | 3 | ) | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 3 | n |
| 3 | n | n | + | 18 | n | + | 18 | n | + | 108 | + | 3 | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 18 | n |
| 3 | n | n | + | 36 | n | + | 108 | + | 3 | ( | n | + | 6 | ) | ( | n | − | 3 | ) | + | 1 | ( | n | − | 3 | ) | ( | n | − | 3 | ) | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 18 | n |
| 3 | n | n | + | 36 | n | + | 108 | + | 3 | n | ( | n | − | 3 | ) | + | 3 | × | 6 | ( | n | − | 3 | ) | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 18 | n |
| 3 | n | n | + | 36 | n | + | 108 | + | 3 | n | ( | n | − | 3 | ) | + | 3 | × | 6 | ( | n | − | 3 | ) | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 18 | n |
| 3 | n | n | + | 36 | n | + | 108 | + | 3 | n | ( | n | − | 3 | ) | + | 18 | ( | n | − | 3 | ) | + | 1 | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 18 | n |
| 3 | n | n | + | 36 | n | + | 108 | + | 3 | n | n | − | 3 | n | × | 3 | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 18 | n |
| 3 | n | n | + | 36 | n | + | 108 | + | 3 | n | n | − | 3 | n | × | 3 | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 18 | n |
| 3 | n | n | + | 36 | n | + | 108 | + | 3 | n | n | − | 9 | n | + | 18 | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | − | 18 | n |
| 3 | n | n | + | 27 | n | + | 108 | + | 3 | n | n | + | 18 | ( | n | − | 3 | ) | + | 1 | = | 1 | n | n | n | + | 6 | n | n | − | 3 | n | n | + | 18 | n |
n1=12
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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