总述：本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业：求方程 50/(1+x)/(1+x)/(1+x)/(1+x)/(1+x)+40/(1+x)/(1+x)/(1+x)+20/(1+x)/(1+x)-70 = 11 的解.
题型：方程
解:原方程：| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 20 | ÷ | ( | 1 | + | x | ) | = | 11 |
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 20 | ÷ | ( | 1 | + | x | ) | − | 70 | ( | 1 | + | x | ) | = | 11 | ( | 1 | + | x | ) |
去掉方程左边的一个括号：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 20 | ÷ | ( | 1 | + | x | ) | − | 70 | × | 1 | = | 11 | ( | 1 | + | x | ) |
去掉方程右边的一个括号：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 20 | ÷ | ( | 1 | + | x | ) | − | 70 | × | 1 | = | 11 | × | 1 | + | 11 | x |
方程化简为：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 20 | ÷ | ( | 1 | + | x | ) | − | 70 | − | 70 | = | 11 | + | 11 | x |
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | + | 20 | − | 70 | ( | 1 | + | x | ) | − | 70 | x | ( | 1 | + | x | ) | = | 11 | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) |
去掉方程左边的一个括号：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | + | 20 | − | 70 | × | 1 | − | 70 | x | − | 70 | = | 11 | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) |
去掉方程右边的一个括号：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | + | 20 | − | 70 | × | 1 | − | 70 | x | − | 70 | = | 11 | × | 1 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) |
方程化简为：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | + | 20 | − | 70 | − | 70 | x | − | 70 | x | = | 11 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) |
方程化简为：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | ÷ | ( | 1 | + | x | ) | − | 50 | − | 70 | x | − | 70 | x | ( | 1 | + | x | ) | = | 11 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) |
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | − | 50 | ( | 1 | + | x | ) | − | 70 | x | ( | 1 | + | x | ) | − | 70 | x | ( | 1 | + | x | ) | = | 11 | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
去掉方程左边的一个括号：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | − | 50 | × | 1 | − | 50 | x | − | 70 | x | ( | 1 | + | x | ) | − | 70 | = | 11 | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
去掉方程右边的一个括号：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | − | 50 | × | 1 | − | 50 | x | − | 70 | x | ( | 1 | + | x | ) | − | 70 | = | 11 | × | 1 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
方程化简为：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 40 | − | 50 | − | 50 | x | − | 70 | x | ( | 1 | + | x | ) | − | 70 | x | = | 11 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
方程化简为：
| | 50 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | − | 10 | − | 50 | x | − | 70 | x | ( | 1 | + | x | ) | − | 70 | x | ( | 1 | + | x | ) | = | 11 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) |
| | 50 | ÷ | ( | 1 | + | x | ) | − | 10 | ( | 1 | + | x | ) | − | 50 | x | ( | 1 | + | x | ) | − | 70 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 70 | = | 11 | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) |
去掉方程左边的一个括号：
| | 50 | ÷ | ( | 1 | + | x | ) | − | 10 | × | 1 | − | 10 | x | − | 50 | x | ( | 1 | + | x | ) | − | 70 | x | ( | 1 | + | x | ) | = | 11 | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) |
去掉方程右边的一个括号：
| | 50 | ÷ | ( | 1 | + | x | ) | − | 10 | × | 1 | − | 10 | x | − | 50 | x | ( | 1 | + | x | ) | − | 70 | x | ( | 1 | + | x | ) | = | 11 | × | 1 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 11 |
方程化简为：
| | 50 | ÷ | ( | 1 | + | x | ) | − | 10 | − | 10 | x | − | 50 | x | ( | 1 | + | x | ) | − | 70 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | = | 11 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 11 | x |
| | 50 | − | 10 | ( | 1 | + | x | ) | − | 10 | x | ( | 1 | + | x | ) | − | 50 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 70 | x | = | 11 | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) |
去掉方程左边的一个括号：
| | 50 | − | 10 | × | 1 | − | 10 | x | − | 10 | x | ( | 1 | + | x | ) | − | 50 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | = | 11 | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) |
去掉方程右边的一个括号：
| | 50 | − | 10 | × | 1 | − | 10 | x | − | 10 | x | ( | 1 | + | x | ) | − | 50 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | = | 11 | × | 1 | + | 11 | x | + | 11 | x | ( | 1 | + | x | ) | + | 11 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 11 |
x≈0.087067 ，保留6位小数
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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