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 0.375/((1+0.952*x)*(1+0.952*x))-1/((1+1.051*1/x)*(1+1.051*1/x)) = 0.828*x 的解.
题型：方程
解:原方程：
3 8 | ÷ | ( | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | ) | − | 1 | ÷ | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | = | 207 250 | x |
| 方程两边同时乘以： | ( | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | ) |
3 8 | − | 1 | ÷ | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | × | ( | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | ) | = | 207 250 | x | ( | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | ) |
3 8 | − | 1 | ÷ | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | × | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | ) |
3 8 | − | 1 | ÷ | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | × | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) |
| 方程两边同时乘以： | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) |
3 8 | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) |
3 8 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) |
3 8 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | × | 1 | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | + | 207 250 | x | × | 119 125 | x | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) |
3 8 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | + | 24633 31250 | x | x | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) |
3 8 | × | 1 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | + | 3 8 | × | 1051 1000 | × | 1 | ÷ | x | × | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | + | 24633 31250 | x | x | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) |
3 8 | × | 1 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | + | 3 8 | × | 1051 1000 | × | 1 | ÷ | x | × | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | × | 1 | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | + | 207 250 | x | × | 119 125 | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | + | 24633 31250 | x | x |
3 8 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | + | 3153 8000 | ÷ | x | × | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | + | 24633 31250 | x | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | + | 24633 31250 | x | x | ( | 1 | + | 119 125 | x | ) | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) |
| 方程两边同时乘以： | x |
3 8 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 3153 8000 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | x | = | 207 250 | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | x | + | 24633 31250 | x | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | x | + | 24633 31250 | x | x |
3 8 | × | 1 | x | + | 3 8 | × | 1051 1000 | × | 1 | ÷ | x | × | x | + | 3153 8000 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | x | + | 24633 31250 | x | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | x | + | 24633 31250 | x | x |
3 8 | × | 1 | x | + | 3 8 | × | 1051 1000 | × | 1 | ÷ | x | × | x | + | 3153 8000 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | = | 207 250 | x | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 24633 31250 | x | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | x | + | 24633 31250 | x |
3 8 | x | + | 3153 8000 | ÷ | x | × | x | + | 3153 8000 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | x | = | 207 250 | x | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 24633 31250 | x | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | x | + | 24633 31250 | x |
3 8 | x | + | 3153 8000 | ÷ | 1 | × | 1 | + | 3153 8000 | × | 1 | + | 3153 8000 | × | 1051 1000 | × | 1 | ÷ | x | − | 1 | = | 207 250 | x | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 24633 31250 | x | x | ( | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | ) | x | + | 24633 31250 | x |
3 8 | x | + | 3153 8000 | ÷ | 1 | × | 1 | + | 3153 8000 | × | 1 | + | 3153 8000 | × | 1051 1000 | × | 1 | ÷ | x | − | 1 | = | 207 250 | x | × | 1 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 207 250 | x | × | 1051 1000 | × | 1 | ÷ | x | × | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x |
3 8 | x | + | 3153 8000 | + | 3153 8000 | + | 3313803 8000000 | ÷ | x | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | x | = | 207 250 | x | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 217557 250000 | x | ÷ | x | × | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 24633 31250 | x | x |
3 8 | x | + | 3153 4000 | + | 3313803 8000000 | ÷ | x | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | x | = | 207 250 | x | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 217557 250000 | x | ÷ | x | × | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | + | 24633 31250 | x | x |
| 方程两边同时乘以： | x |
3 8 | x | x | + | 3153 4000 | x | + | 3313803 8000000 | − | 1 | ( | 1 | + | 119 125 | x | ) | ( | 1 | + | 119 125 | x | ) | x | x | = | 207 250 | x | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | x | + | 217557 250000 | × | 1 | ÷ | 1 | × | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | x | + | 24633 31250 |
3 8 | x | x | + | 3153 4000 | x | + | 3313803 8000000 | − | 1 | × | 1 | ( | 1 | + | 119 125 | x | ) | x | x | − | 1 | = | 207 250 | x | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | x | + | 217557 250000 | × | 1 | ÷ | 1 | × | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x | x | + | 24633 31250 |
3 8 | x | x | + | 3153 4000 | x | + | 3313803 8000000 | − | 1 | × | 1 | ( | 1 | + | 119 125 | x | ) | x | x | − | 1 | = | 207 250 | x | × | 1 | x | x | + | 207 250 | x | × | 1051 1000 | × | 1 | ÷ | x | × | x | x |
3 8 | x | x | + | 3153 4000 | x | + | 3313803 8000000 | − | 1 | ( | 1 | + | 119 125 | x | ) | x | x | − | 119 125 | x | = | 207 250 | x | x | x | + | 217557 250000 | x | ÷ | x | × | x | x | + | 217557 250000 | ( | 1 | + | 1051 1000 | × | 1 | ÷ | x | ) | x |
方程的解为：
x1≈-2.862980 ，保留6位小数
x2≈-0.697967 ，保留6位小数
x3≈0.250520 ，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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