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 (360/（1+(x/100)）)+(300/（1+(x/25)）)+(300/（1+(x/40)))+(240/（1+(x/65)）)+(160/（1+(x/35)))-750 = 0 的解.
题型：方程
解:原方程：
| ( | 360 | ÷ | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | − | 750 | = | 0 |
| 360 | ÷ | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | − | 750 | = | 0 |
| 方程两边同时乘以： | ( | 1 | + | ( | x | ÷ | 100 | ) | ) |
| 360 | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | − | 750 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 360 | + | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | × | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | − | 750 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 方程两边同时乘以： | ( | 1 | + | ( | x | ÷ | 25 | ) | ) |
| 360 | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 360 | × | 1 | + | 360 | ( | x | ÷ | 25 | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 360 | + | 360 | ( | x | ÷ | 25 | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | = | 0 |
| 360 | + | 360 | x | ÷ | 25 | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 360 | + | 72 5 | x | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | = | 0 |
| 360 | + | 72 5 | x | + | 300 | × | 1 | + | 300 | ( | x | ÷ | 100 | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 360 | + | 72 5 | x | + | 300 | + | 300 | ( | x | ÷ | 100 | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 72 5 | x | + | 300 | ( | x | ÷ | 100 | ) | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | = | 0 |
| 660 | + | 72 5 | x | + | 300 | x | ÷ | 100 | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 72 5 | x | + | 3 | x | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | = | 0 |
| 660 | + | 87 5 | x | + | ( | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 87 5 | x | + | 300 | ÷ | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | × | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 160 | ÷ | ( | 1 | + | ( | x | ÷ | 35 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 方程两边同时乘以： | ( | 1 | + | ( | x | ÷ | 40 | ) | ) |
| 660 | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | = | 0 |
| 660 | × | 1 | + | 660 | ( | x | ÷ | 40 | ) | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 660 | + | 660 | ( | x | ÷ | 40 | ) | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 660 | x | ÷ | 40 | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | = | 0 |
| 660 | + | 33 2 | x | + | 87 5 | x | ( | 1 | + | ( | x | ÷ | 40 | ) | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 33 2 | x | + | 87 5 | x | × | 1 | + | 87 5 | x | ( | x | ÷ | 40 | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | = | 0 |
| 660 | + | 33 2 | x | + | 87 5 | x | + | 87 5 | x | ( | x | ÷ | 40 | ) | + | 300 | ( | 1 | + | ( | x | ÷ | 100 | ) | ) | ( | 1 | + | ( | x | ÷ | 25 | ) | ) | + | ( | 240 | ÷ | ( | 1 | + | ( | x | ÷ | 65 | ) | ) | ) | = | 0 |
方程的解为：
x1≈-83.130475 ，保留6位小数
x2≈-53.825194 ，保留6位小数
x3≈-36.677344 ，保留6位小数
x4≈-28.567420 ，保留6位小数
x5≈39.467100 ，保留6位小数
有 5个解。
解程的详细方法请参阅：《方程的解法》
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