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+3）（x+3））+1/（xx） = 1/（（3-x）（3-x）） 的解.
题型：方程
解:原方程：
| 1 | ÷ | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | + | 1 | ÷ | ( | x | x | ) | = | 1 | ÷ | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) |
| 方程两边同时乘以： | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | , | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) |
| 1 | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | + | 1 | ÷ | ( | x | x | ) | × | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | = | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) |
| 1 | ( | 3 | − | x | ) | ( | 3 | − | x | ) | + | 1 | ÷ | ( | x | x | ) | × | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | = | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) |
| 1 | ( | 3 | − | x | ) | ( | 3 | − | x | ) | + | 1 | ÷ | ( | x | x | ) | × | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | = | 1 | ( | x | + | 3 | ) | ( | x | + | 3 | ) |
| 方程两边同时乘以： | ( | x | x | ) |
| 1 | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | = | 1 | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ( | x | x | ) |
| 1 | × | 3 | ( | 3 | − | x | ) | ( | x | x | ) | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | = | 1 | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ( | x | x | ) |
| 1 | × | 3 | ( | 3 | − | x | ) | ( | x | x | ) | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | = | 1 | x | ( | x | + | 3 | ) | ( | x | x | ) | + | 1 | × | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 3 | ( | 3 | − | x | ) | ( | x | x | ) | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | = | 1 | x | ( | x | + | 3 | ) | ( | x | x | ) | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 3 | × | 3 | ( | x | x | ) | − | 3 | x | ( | x | x | ) | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | = | 1 | x | ( | x | + | 3 | ) | ( | x | x | ) | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 3 | × | 3 | ( | x | x | ) | − | 3 | x | ( | x | x | ) | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | = | 1 | x | x | ( | x | x | ) | + | 1 | x | × | 3 | ( | x | x | ) | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 9 | ( | x | x | ) | − | 3 | x | ( | x | x | ) | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | ( | ( | 3 | − | x | ) | ( | 3 | − | x | ) | ) | = | 1 | x | x | ( | x | x | ) | + | 3 | x | ( | x | x | ) | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 9 | x | x | − | 3 | x | ( | x | x | ) | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | = | 1 | x | x | ( | x | x | ) | + | 3 | x | ( | x | x | ) | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 9 | x | x | − | 3 | x | ( | x | x | ) | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | ( | ( | x | + | 3 | ) | ( | x | + | 3 | ) | ) | = | 1 | x | x | x | x | + | 3 | x | ( | x | x | ) | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 9 | x | x | − | 3 | x | x | x | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | = | 1 | x | x | x | x | + | 3 | x | ( | x | x | ) | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 9 | x | x | − | 3 | x | x | x | − | 1 | x | ( | 3 | − | x | ) | ( | x | x | ) | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 9 | x | x | − | 3 | x | x | x | − | 1 | x | × | 3 | ( | x | x | ) | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | ( | x | + | 3 | ) | ( | x | x | ) |
| 9 | x | x | − | 3 | x | x | x | − | 1 | x | × | 3 | ( | x | x | ) | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | x | ( | x | x | ) |
| 9 | x | x | − | 3 | x | x | x | − | 3 | x | ( | x | x | ) | + | 1 | x | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | x | ( | x | x | ) |
| 9 | x | x | − | 3 | x | x | x | − | 3 | x | x | x | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | x | ( | x | x | ) |
| 9 | x | x | − | 3 | x | x | x | − | 3 | x | x | x | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | x | x |
| 9 | x | x | − | 3 | x | x | x | − | 3 | x | x | x | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | x | x |
| 9 | x | x | − | 3 | x | x | x | − | 3 | x | x | x | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | x | x |
| 9 | x | x | − | 3 | x | x | x | − | 3 | x | x | x | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | x | x |
| 9 | x | x | − | 3 | x | x | x | − | 3 | x | x | x | + | 1 | = | 1 | x | x | x | x | + | 3 | x | x | x | + | 3 | x | x |
方程化为一般式后，有公因式：
( 1000x - √177351207 )
由
1000x - √177351207 = 0
得：
| x1= | √177351207 1000 |
不能由因式分解法得出的解：
x2≈1.540859 ，保留6位小数
有 2个解。
解程的详细方法请参阅：《方程的解法》
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