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 0.45/(2.25−x)+0.03/(1−x)+0.033/(0.33-x)+0.084/(0.21-x) = 1 的解.
题型：方程
解:原方程：
9 20 | ÷ | ( | 9 4 | − | x | ) | + | 3 100 | ÷ | ( | 1 | − | x | ) | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 1 |
| 方程两边同时乘以： | ( | 9 4 | − | x | ) |
9 20 | + | 3 100 | ÷ | ( | 1 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | = | 1 | ( | 9 4 | − | x | ) |
9 20 | + | 3 100 | ÷ | ( | 1 | − | x | ) | × | 9 4 | − | 3 100 | ÷ | ( | 1 | − | x | ) | × | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 1 | ( | 9 4 | − | x | ) |
9 20 | + | 3 100 | ÷ | ( | 1 | − | x | ) | × | 9 4 | − | 3 100 | ÷ | ( | 1 | − | x | ) | × | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 1 | × | 9 4 | − | 1 | x |
9 20 | + | 27 400 | ÷ | ( | 1 | − | x | ) | − | 3 100 | ÷ | ( | 1 | − | x | ) | × | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | = | 9 4 | − | 1 | x |
| 方程两边同时乘以： | ( | 1 | − | x | ) |
9 20 | ( | 1 | − | x | ) | + | 27 400 | − | 3 100 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | = | 9 4 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) |
9 20 | × | 1 | − | 9 20 | x | + | 27 400 | − | 3 100 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | = | 9 4 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) |
9 20 | × | 1 | − | 9 20 | x | + | 27 400 | − | 3 100 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | = | 9 4 | × | 1 | − | 9 4 | x | − | 1 | x | ( | 1 | − | x | ) |
9 20 | − | 9 20 | x | + | 27 400 | − | 3 100 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 9 4 | − | 9 4 | x | − | 1 | x | ( | 1 | − | x | ) |
207 400 | − | 12 25 | x | + | 33 1000 | ÷ | ( | 33 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | = | 9 4 | − | 9 4 | x | − | 1 | x | ( | 1 | − | x | ) |
| 方程两边同时乘以： | ( | 33 100 | − | x | ) |
207 400 | ( | 33 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | = | 9 4 | ( | 33 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 33 100 | − | x | ) |
207 400 | × | 33 100 | − | 207 400 | x | − | 12 25 | x | ( | 33 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 9 4 | ( | 33 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 33 100 | − | x | ) |
207 400 | × | 33 100 | − | 207 400 | x | − | 12 25 | x | ( | 33 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | = | 9 4 | × | 33 100 | − | 9 4 | x | − | 9 4 | x | ( | 33 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 33 100 | − | x | ) |
6831 40000 | − | 207 400 | x | − | 12 25 | x | ( | 33 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | + | 21 250 | ÷ | ( | 21 100 | − | x | ) | × | ( | 9 4 | − | x | ) | = | 297 400 | − | 9 4 | x | − | 9 4 | x | ( | 33 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 33 100 | − | x | ) |
| 方程两边同时乘以： | ( | 21 100 | − | x | ) |
6831 40000 | ( | 21 100 | − | x | ) | − | 207 400 | x | ( | 21 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | ( | 1 | − | x | ) | = | 297 400 | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) |
6831 40000 | × | 21 100 | − | 6831 40000 | x | − | 207 400 | x | ( | 21 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | = | 297 400 | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) |
6831 40000 | × | 21 100 | − | 6831 40000 | x | − | 207 400 | x | ( | 21 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | = | 297 400 | × | 21 100 | − | 297 400 | x | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 |
143451 4000000 | − | 6831 40000 | x | − | 207 400 | x | ( | 21 100 | − | x | ) | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | = | 6237 40000 | − | 297 400 | x | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x |
143451 4000000 | − | 6831 40000 | x | − | 207 400 | x | × | 21 100 | + | 207 400 | x | x | − | 12 25 | x | ( | 33 100 | − | x | ) | = | 6237 40000 | − | 297 400 | x | − | 9 4 | x | ( | 21 100 | − | x | ) | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x |
143451 4000000 | − | 6831 40000 | x | − | 207 400 | x | × | 21 100 | + | 207 400 | x | x | − | 12 25 | x | ( | 33 100 | − | x | ) | = | 6237 40000 | − | 297 400 | x | − | 9 4 | x | × | 21 100 | + | 9 4 | x | x | − | 9 4 | x | ( | 33 100 | − | x | ) |
143451 4000000 | − | 6831 40000 | x | − | 4347 40000 | x | + | 207 400 | x | x | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | = | 6237 40000 | − | 297 400 | x | − | 189 400 | x | + | 9 4 | x | x | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) |
143451 4000000 | − | 5589 20000 | x | + | 207 400 | x | x | − | 12 25 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | + | 33 1000 | ( | 9 4 | − | x | ) | = | 6237 40000 | − | 243 200 | x | + | 9 4 | x | x | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x |
143451 4000000 | − | 5589 20000 | x | + | 207 400 | x | x | − | 12 25 | x | × | 33 100 | ( | 21 100 | − | x | ) | + | 12 25 | x | = | 6237 40000 | − | 243 200 | x | + | 9 4 | x | x | − | 9 4 | x | ( | 33 100 | − | x | ) | ( | 21 100 | − | x | ) | − | 1 | x |
方程的解为：
x1≈0.076702 ，保留6位小数
x2≈0.963143 ，保留6位小数
x3≈1.844133 ，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》