总述：本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业：求方程 （10000÷（104+x））+（20000÷（214+x））+（10000÷（164÷x）） = 150 的解.
题型：方程
解:原方程：| | ( | 10000 | ÷ | ( | 104 | + | x | ) | ) | + | ( | 20000 | ÷ | ( | 214 | + | x | ) | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | = | 150 |
去掉方程左边的一个括号：
| | 10000 | ÷ | ( | 104 | + | x | ) | + | ( | 20000 | ÷ | ( | 214 | + | x | ) | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | = | 150 |
| | 10000 | + | ( | 20000 | ÷ | ( | 214 | + | x | ) | ) | ( | 104 | + | x | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | = | 150 | ( | 104 | + | x | ) |
去掉方程左边的一个括号：
| | 10000 | + | 20000 | ÷ | ( | 214 | + | x | ) | × | ( | 104 | + | x | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | = | 150 | ( | 104 | + | x | ) |
去掉方程右边的一个括号：
| | 10000 | + | 20000 | ÷ | ( | 214 | + | x | ) | × | ( | 104 | + | x | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | = | 150 | × | 104 | + | 150 | x |
方程化简为：
| | 10000 | + | 20000 | ÷ | ( | 214 | + | x | ) | × | ( | 104 | + | x | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | = | 15600 | + | 150 | x |
| | 10000 | ( | 214 | + | x | ) | + | 20000 | ( | 104 | + | x | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 15600 | ( | 214 | + | x | ) | + | 150 | x | ( | 214 | + | x | ) |
去掉方程左边的一个括号：
| | 10000 | × | 214 | + | 10000 | x | + | 20000 | ( | 104 | + | x | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 15600 | ( | 214 | + | x | ) | + | 150 | x | ( | 214 | + | x | ) |
去掉方程右边的一个括号：
| | 10000 | × | 214 | + | 10000 | x | + | 20000 | ( | 104 | + | x | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 15600 | × | 214 | + | 15600 | x | + | 150 | x | ( | 214 | + | x | ) |
方程化简为：
| | 2140000 | + | 10000 | x | + | 20000 | ( | 104 | + | x | ) | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | + | 15600 | x | + | 150 | x | ( | 214 | + | x | ) |
去掉方程左边的一个括号：
| | 2140000 | + | 10000 | x | + | 20000 | × | 104 | + | 20000 | x | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | + | 15600 | x | + | 150 | x | ( | 214 | + | x | ) |
去掉方程右边的一个括号：
| | 2140000 | + | 10000 | x | + | 20000 | × | 104 | + | 20000 | x | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | + | 15600 | x | + | 150 | x | × | 214 | + | 150 | x | x |
方程化简为：
| | 2140000 | + | 10000 | x | + | 2080000 | + | 20000 | x | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | + | 15600 | x | + | 32100 | x | + | 150 | x | x |
方程化简为：
| | 4220000 | + | 30000 | x | + | ( | 10000 | ÷ | ( | 164 | ÷ | x | ) | ) | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | + | 47700 | x | + | 150 | x | x |
去掉方程左边的一个括号：
| | 4220000 | + | 30000 | x | + | 10000 | ÷ | ( | 164 | ÷ | x | ) | × | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | + | 47700 | x | + | 150 | x | x |
| | 4220000 | ( | 164 | ÷ | x | ) | + | 30000 | × | 1 | ( | 164 | ÷ | 1 | ) | + | 10000 | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | ( | 164 | ÷ | x | ) | + | 47700 | × | 1 | ( | 164 | ÷ | 1 | ) | + | 150 | × | 1 | x | ( | 164 | ÷ | 1 | ) |
去掉方程左边的一个括号：
| | 4220000 | × | 164 | ÷ | x | + | 30000 | × | 1 | ( | 164 | ÷ | 1 | ) | + | 10000 | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | ( | 164 | ÷ | x | ) | + | 47700 | × | 1 | ( | 164 | ÷ | 1 | ) | + | 150 | × | 1 | x | ( | 164 | ÷ | 1 | ) |
去掉方程右边的一个括号：
| | 4220000 | × | 164 | ÷ | x | + | 30000 | × | 1 | ( | 164 | ÷ | 1 | ) | + | 10000 | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 3338400 | × | 164 | ÷ | x | + | 47700 | × | 1 | ( | 164 | ÷ | 1 | ) | + | 150 | × | 1 | x | ( | 164 | ÷ | 1 | ) |
方程化简为：
| | 692080000 | ÷ | x | + | 30000 | ( | 164 | ÷ | 1 | ) | + | 10000 | ( | 104 | + | x | ) | ( | 214 | + | x | ) | = | 547497600 | ÷ | x | + | 47700 | ( | 164 | ÷ | 1 | ) | + | 150 | x | ( | 164 | ÷ | 1 | ) |
| | 692080000 | + | 30000 | ( | 164 | ÷ | 1 | ) | x | + | 10000 | ( | 104 | + | x | ) | ( | 214 | + | x | ) | x | = | 547497600 | ÷ | 1 | × | 1 | + | 47700 | ( | 164 | ÷ | 1 | ) | x | + | 150 | x | ( | 164 | ÷ | 1 | ) | x |
去掉方程左边的一个括号：
| | 692080000 | + | 30000 | × | 164 | ÷ | 1 | × | x | + | 10000 | ( | 104 | + | x | ) | ( | 214 | + | x | ) | x | = | 547497600 | ÷ | 1 | × | 1 | + | 47700 | ( | 164 | ÷ | 1 | ) | x | + | 150 | x | ( | 164 | ÷ | 1 | ) | x |
去掉方程右边的一个括号：
| | 692080000 | + | 30000 | × | 164 | ÷ | 1 | × | x | + | 10000 | ( | 104 | + | x | ) | ( | 214 | + | x | ) | x | = | 547497600 | ÷ | 1 | × | 1 | + | 47700 | × | 164 | ÷ | 1 | × | x | + | 150 | x | ( | 164 | ÷ | 1 | ) | x |
方程的解为：
x1≈-102.390768 ，保留6位小数
x2≈-0.664549 ，保留6位小数
有 2个解。
解程的详细方法请参阅：《方程的解法》
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