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 (x/(3-2x))/(((2-2x)/(3-2x))*((2-2x)/(3-2x))*((1-x)/(3-2x))) = 0.00608 的解.
题型：方程
解:原方程：
| ( | x | ÷ | ( | 3 | − | 2 | x | ) | ) | ÷ | ( | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ) | = | 19 3125 |
| 方程两边同时乘以： | ( | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ) |
| ( | x | ÷ | ( | 3 | − | 2 | x | ) | ) | = | 19 3125 | ( | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ) |
| x | ÷ | ( | 3 | − | 2 | x | ) | = | 19 3125 | ( | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ) |
| x | ÷ | ( | 3 | − | 2 | x | ) | = | 19 3125 | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) |
| 方程两边同时乘以： | ( | 3 | − | 2 | x | ) |
| x | = | 19 3125 | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| x | = | 19 3125 | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | × | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| 方程两边同时乘以： | ( | 3 | − | 2 | x | ) |
| x | ( | 3 | − | 2 | x | ) | = | 19 3125 | ( | 2 | − | 2 | x | ) | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| x | × | 3 | − | x | × | 2 | x | = | 19 3125 | ( | 2 | − | 2 | x | ) | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| x | × | 3 | − | x | × | 2 | x | = | 19 3125 | × | 2 | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 19 3125 | × | 2 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| x | × | 3 | − | x | × | 2 | x | = | 38 3125 | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| 3 | x | − | x | × | 2 | x | = | 38 3125 | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | × | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| 方程两边同时乘以： | ( | 3 | − | 2 | x | ) |
| 3 | x | ( | 3 | − | 2 | x | ) | − | x | × | 2 | x | ( | 3 | − | 2 | x | ) | = | 38 3125 | ( | 2 | − | 2 | x | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | ( | 3 | − | 2 | x | ) |
| 3 | x | × | 3 | − | 3 | x | × | 2 | x | − | x | × | 2 | x | ( | 3 | − | 2 | x | ) | = | 38 3125 | ( | 2 | − | 2 | x | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | ( | 3 | − | 2 | x | ) |
| 3 | x | × | 3 | − | 3 | x | × | 2 | x | − | x | × | 2 | x | ( | 3 | − | 2 | x | ) | = | 38 3125 | × | 2 | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | × | 2 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) |
| 9 | x | − | 6 | x | x | − | x | × | 2 | x | ( | 3 | − | 2 | x | ) | = | 76 3125 | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| 9 | x | − | 6 | x | x | − | x | × | 2 | x | × | 3 | + | x | × | 2 | x | = | 76 3125 | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) |
| 9 | x | − | 6 | x | x | − | x | × | 2 | x | × | 3 | + | x | × | 2 | x | = | 76 3125 | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | × | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) |
| 9 | x | − | 6 | x | x | − | x | × | 6 | x | + | x | × | 4 | x | x | = | 76 3125 | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | × | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) |
| 方程两边同时乘以： | ( | 3 | − | 2 | x | ) |
| 9 | x | ( | 3 | − | 2 | x | ) | − | 6 | x | x | ( | 3 | − | 2 | x | ) | − | x | × | 6 | x | ( | 3 | − | 2 | x | ) | + | x | = | 76 3125 | ( | 1 | − | x | ) | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) |
| 9 | x | × | 3 | − | 9 | x | × | 2 | x | − | 6 | x | x | ( | 3 | − | 2 | x | ) | − | x | = | 76 3125 | ( | 1 | − | x | ) | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x | ( | ( | 2 | − | 2 | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) |
| 9 | x | × | 3 | − | 9 | x | × | 2 | x | − | 6 | x | x | ( | 3 | − | 2 | x | ) | − | x | = | 76 3125 | × | 1 | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 |
| 27 | x | − | 18 | x | x | − | 6 | x | x | ( | 3 | − | 2 | x | ) | − | x | × | 6 | x | = | 76 3125 | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | 3 | − | 2 | x | ) | − | 76 3125 | x | ( | ( | 1 | − | x | ) | ÷ | ( | 3 | − | 2 | x | ) | ) | ( | 3 | − | 2 | x | ) | ( | 3 | − | 2 | x | ) | − | 38 3125 | x |
x≈0.002690 ，保留6位小数
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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