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 (20+x)/((20+x)/16+(1.68/942)) = (20-x)/((20-x)/16+(2.45/690)) 的解.
题型：方程
解:原方程：
| ( | 20 | + | x | ) | ÷ | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) | = | ( | 20 | − | x | ) | ÷ | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) |
| 方程两边同时乘以： | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) | , | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) |
| ( | 20 | + | x | ) | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | ( | 20 | − | x | ) | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
| 20 | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | ( | 20 | − | x | ) | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
| 20 | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 20 | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
| 20 | ( | 20 | − | x | ) | ÷ | 16 | + | 20 | ( | 49 20 | ÷ | 690 | ) | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 20 | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
| 20 | ( | 20 | − | x | ) | ÷ | 16 | + | 20 | ( | 49 20 | ÷ | 690 | ) | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 20 | ( | 20 | + | x | ) | ÷ | 16 | + | 20 | ( | 42 25 | ÷ | 942 | ) | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
5 4 | ( | 20 | − | x | ) | + | 20 | ( | 49 20 | ÷ | 690 | ) | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 5 4 | ( | 20 | + | x | ) | + | 20 | ( | 42 25 | ÷ | 942 | ) | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
5 4 | × | 20 | − | 5 4 | x | + | 20 | ( | 49 20 | ÷ | 690 | ) | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 5 4 | ( | 20 | + | x | ) | + | 20 | ( | 42 25 | ÷ | 942 | ) | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
5 4 | × | 20 | − | 5 4 | x | + | 20 | ( | 49 20 | ÷ | 690 | ) | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 5 4 | × | 20 | + | 5 4 | x | + | 20 | ( | 42 25 | ÷ | 942 | ) | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
| 25 | − | 5 4 | x | + | 20 | ( | 49 20 | ÷ | 690 | ) | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 25 | + | 5 4 | x | + | 20 | ( | 42 25 | ÷ | 942 | ) | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
| 25 | − | 5 4 | x | + | 20 | × | 49 20 | ÷ | 690 | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 25 | + | 5 4 | x | + | 20 | ( | 42 25 | ÷ | 942 | ) | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
| 25 | − | 5 4 | x | + | 20 | × | 49 20 | ÷ | 690 | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 25 | + | 5 4 | x | + | 20 | × | 42 25 | ÷ | 942 | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
| 25 | − | 5 4 | x | + | 49 690 | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 25 | + | 5 4 | x | + | 28 785 | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
17299 690 | − | 5 4 | x | + | x | ( | ( | 20 | − | x | ) | ÷ | 16 | + | ( | 49 20 | ÷ | 690 | ) | ) | = | 19653 785 | + | 5 4 | x | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
17299 690 | − | 5 4 | x | + | x | ( | 20 | − | x | ) | ÷ | 16 | + | x | ( | 49 20 | ÷ | 690 | ) | = | 19653 785 | + | 5 4 | x | − | x | ( | ( | 20 | + | x | ) | ÷ | 16 | + | ( | 42 25 | ÷ | 942 | ) | ) |
17299 690 | − | 5 4 | x | + | x | ( | 20 | − | x | ) | ÷ | 16 | + | x | ( | 49 20 | ÷ | 690 | ) | = | 19653 785 | + | 5 4 | x | − | x | ( | 20 | + | x | ) | ÷ | 16 | − | x | ( | 42 25 | ÷ | 942 | ) |
17299 690 | − | 5 4 | x | + | x | × | 20 | × | 1 16 | − | x | x | × | 1 16 | + | x | ( | 49 20 | ÷ | 690 | ) | = | 19653 785 | + | 5 4 | x | − | x | ( | 20 | + | x | ) | × | 1 16 | − | x | ( | 42 25 | ÷ | 942 | ) |
17299 690 | − | 5 4 | x | + | x | × | 20 | × | 1 16 | − | x | x | × | 1 16 | + | x | ( | 49 20 | ÷ | 690 | ) | = | 19653 785 | + | 5 4 | x | − | x | × | 20 | × | 1 16 | − | x | x | × | 1 16 | − | x | ( | 42 25 | ÷ | 942 | ) |
17299 690 | − | 5 4 | x | + | x | × | 5 4 | − | x | x | × | 1 16 | + | x | ( | 49 20 | ÷ | 690 | ) | = | 19653 785 | + | 5 4 | x | − | x | × | 5 4 | − | x | x | × | 1 16 | − | x | ( | 42 25 | ÷ | 942 | ) |
17299 690 | − | 0 | x | − | x | x | × | 1 16 | + | x | ( | 49 20 | ÷ | 690 | ) | = | 19653 785 | + | 0 | x | − | x | x | × | 1 16 | − | x | ( | 42 25 | ÷ | 942 | ) |
17299 690 | − | x | x | × | 1 16 | + | x | × | 49 20 | ÷ | 690 | = | 19653 785 | − | x | x | × | 1 16 | − | x | ( | 42 25 | ÷ | 942 | ) |
17299 690 | − | x | x | × | 1 16 | + | x | × | 49 20 | ÷ | 690 | = | 19653 785 | − | x | x | × | 1 16 | − | x | × | 42 25 | ÷ | 942 |
17299 690 | − | x | x | × | 1 16 | + | x | × | 49 13800 | = | 19653 785 | − | x | x | × | 1 16 | − | x | × | 7 3925 |
x=0
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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