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 （0.7178/(1.8889-x))+(0.15/(1-x))+(0.21/(0.7778-x))+(0.0844/(0.4222-x)) = 0.75 的解.
题型：方程
解:原方程：
| ( | 3589 5000 | ÷ | ( | 18889 10000 | - | x | ) | ) | + | ( | 3 20 | ÷ | ( | 1 | - | x | ) | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | = | 3 4 |
3589 5000 | ÷ | ( | 18889 10000 | - | x | ) | + | ( | 3 20 | ÷ | ( | 1 | - | x | ) | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | = | 3 4 |
| 方程两边同时乘以： | ( | 18889 10000 | - | x | ) |
3589 5000 | + | ( | 3 20 | ÷ | ( | 1 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | = | 3 4 | ( | 18889 10000 | - | x | ) |
3589 5000 | + | 3 20 | ÷ | ( | 1 | - | x | ) | × | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | = | 3 4 | ( | 18889 10000 | - | x | ) |
3589 5000 | + | 3 20 | ÷ | ( | 1 | - | x | ) | × | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | = | 3 4 | × | 18889 10000 | - | 3 4 | x |
3589 5000 | + | 3 20 | ÷ | ( | 1 | - | x | ) | × | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | = | 56667 40000 | - | 3 4 | x |
| 方程两边同时乘以： | ( | 1 | - | x | ) |
3589 5000 | ( | 1 | - | x | ) | + | 3 20 | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | ( | 1 | - | x | ) | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | × | 1 | - | 3589 5000 | x | + | 3 20 | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | ( | 1 | - | x | ) | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | × | 1 | - | 3589 5000 | x | + | 3 20 | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | × | 1 | - | 56667 40000 | x | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | - | 3589 5000 | x | + | 3 20 | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 56667 40000 | x | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | - | 3589 5000 | x | + | 3 20 | × | 18889 10000 | - | 3 20 | x | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 56667 40000 | x | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | - | 3589 5000 | x | + | 3 20 | × | 18889 10000 | - | 3 20 | x | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 56667 40000 | x | - | 3 4 | x | × | 1 | + | 3 4 | x | x |
3589 5000 | - | 3589 5000 | x | + | 56667 200000 | - | 3 20 | x | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 56667 40000 | x | - | 3 4 | x | + | 3 4 | x | x |
200227 200000 | - | 4339 5000 | x | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 86667 40000 | x | + | 3 4 | x | x |
200227 200000 | - | 4339 5000 | x | + | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | × | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 86667 40000 | x | + | 3 4 | x | x |
| 方程两边同时乘以： | ( | 3889 5000 | - | x | ) |
200227 200000 | ( | 3889 5000 | - | x | ) | - | 4339 5000 | x | ( | 3889 5000 | - | x | ) | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 56667 40000 | ( | 3889 5000 | - | x | ) | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
200227 200000 | × | 3889 5000 | - | 200227 200000 | x | - | 4339 5000 | x | ( | 3889 5000 | - | x | ) | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 56667 40000 | ( | 3889 5000 | - | x | ) | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
200227 200000 | × | 3889 5000 | - | 200227 200000 | x | - | 4339 5000 | x | ( | 3889 5000 | - | x | ) | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 56667 40000 | × | 3889 5000 | - | 56667 40000 | x | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
778682803 1000000000 | - | 200227 200000 | x | - | 4339 5000 | x | ( | 3889 5000 | - | x | ) | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 220377963 200000000 | - | 56667 40000 | x | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
778682803 1000000000 | - | 200227 200000 | x | - | 4339 5000 | x | × | 3889 5000 | + | 4339 5000 | x | x | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 220377963 200000000 | - | 56667 40000 | x | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
778682803 1000000000 | - | 200227 200000 | x | - | 4339 5000 | x | × | 3889 5000 | + | 4339 5000 | x | x | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 220377963 200000000 | - | 56667 40000 | x | - | 86667 40000 | x | × | 3889 5000 | + | 86667 40000 | x | x | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
778682803 1000000000 | - | 200227 200000 | x | - | 16874371 25000000 | x | + | 4339 5000 | x | x | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 220377963 200000000 | - | 56667 40000 | x | - | 337047963 200000000 | x | + | 86667 40000 | x | x | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
方程的解为：
x1≈-0.308703 ，保留6位小数
x2≈0.517097 ，保留6位小数
x3≈0.913479 ，保留6位小数
x4≈1.417428 ，保留6位小数
有 4个解。
解程的详细方法请参阅：《方程的解法》