总述：本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业：求方程 -5-5/r【1-1/（1+r）*4】+{4/r[1-1/(1+r)*21]}/(1+r)*30+35.5/(1+r)*50 = 0 的解.
题型：方程
解:原方程：| | - | 5 | − | 5 | ÷ | r | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 4 | ) | + | ( | 4 | ÷ | r | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | ÷ | ( | 1 | + | r | ) | × | 30 | + | 71 2 | ÷ | ( | 1 | + | r | ) | × | 50 | = | 0 |
| | - | 5 | r | − | 5 | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 4 | ) | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | ÷ | ( | 1 | + | r | ) | × | 30 | × | 1 | + | 71 2 | ÷ | ( | 1 | + | r | ) | × | 50 | r | = | 0 |
去掉方程左边的一个括号：
| | - | 5 | r | − | 5 | × | 1 | + | 5 | × | 1 | ÷ | ( | 1 | + | r | ) | × | 4 | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | ÷ | ( | 1 | + | r | ) | × | 30 | × | 1 | = | 0 |
方程化简为：
| | - | 5 | r | − | 5 | + | 20 | ÷ | ( | 1 | + | r | ) | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | ÷ | ( | 1 | + | r | ) | × | 30 | + | 1775 | ÷ | ( | 1 | + | r | ) | × | r | = | 0 |
| | - | 5 | r | ( | 1 | + | r | ) | − | 5 | ( | 1 | + | r | ) | + | 20 | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | × | 30 | + | 1775 | r | = | 0 |
去掉方程左边的一个括号：
| | - | 5 | r | × | 1 | − | 5 | r | r | − | 5 | ( | 1 | + | r | ) | + | 20 | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | × | 30 | + | 1775 | = | 0 |
方程化简为：
| | - | 5 | r | − | 5 | r | r | − | 5 | ( | 1 | + | r | ) | + | 20 | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | × | 30 | + | 1775 | r | = | 0 |
方程化简为：
| | 1770 | r | − | 5 | r | r | − | 5 | ( | 1 | + | r | ) | + | 20 | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | × | 30 | = | 0 |
去掉方程左边的一个括号：
| | 1770 | r | − | 5 | r | r | − | 5 | × | 1 | − | 5 | r | + | 20 | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | × | 30 | = | 0 |
方程化简为：
| | 1770 | r | − | 5 | r | r | − | 5 | − | 5 | r | + | 20 | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | × | 30 | = | 0 |
方程化简为：
| | 1765 | r | − | 5 | r | r | + | 15 | + | ( | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | ) | × | 30 | = | 0 |
去掉方程左边的一个括号：
| | 1765 | r | − | 5 | r | r | + | 15 | + | 4 | ÷ | 1 | × | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | × | 30 | = | 0 |
方程化简为：
| | 1765 | r | − | 5 | r | r | + | 15 | + | 120 | ( | 1 | − | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | ) | = | 0 |
去掉方程左边的一个括号：
| | 1765 | r | − | 5 | r | r | + | 15 | + | 120 | × | 1 | − | 120 | × | 1 | ÷ | ( | 1 | + | r | ) | × | 21 | = | 0 |
方程化简为：
| | 1765 | r | − | 5 | r | r | + | 15 | + | 120 | − | 2520 | ÷ | ( | 1 | + | r | ) | = | 0 |
方程化简为：
| | 1765 | r | − | 5 | r | r | + | 135 | − | 2520 | ÷ | ( | 1 | + | r | ) | = | 0 |
| | 1765 | r | ( | 1 | + | r | ) | − | 5 | r | r | ( | 1 | + | r | ) | + | 135 | ( | 1 | + | r | ) | − | 2520 | = | 0 |
去掉方程左边的一个括号：
| | 1765 | r | × | 1 | + | 1765 | r | r | − | 5 | r | r | ( | 1 | + | r | ) | + | 135 | ( | 1 | + | r | ) | = | 0 |
方程化简为：
| | 1765 | r | + | 1765 | r | r | − | 5 | r | r | ( | 1 | + | r | ) | + | 135 | ( | 1 | + | r | ) | − | 2520 | = | 0 |
去掉方程左边的一个括号：
| | 1765 | r | + | 1765 | r | r | − | 5 | r | r | × | 1 | − | 5 | r | r | = | 0 |
方程化简为：
| | 1765 | r | + | 1765 | r | r | − | 5 | r | r | − | 5 | r | r | r | = | 0 |
去掉方程左边的一个括号：
| | 1765 | r | + | 1765 | r | r | − | 5 | r | r | − | 5 | r | r | r | = | 0 |
方程化简为：
| | 1765 | r | + | 1765 | r | r | − | 5 | r | r | − | 5 | r | r | r | = | 0 |
方程化简为：
| | 1900 | r | + | 1765 | r | r | − | 5 | r | r | − | 5 | r | r | r | = | 0 |
方程可以化为：
| | 1900 | r | + | 1765 | r | r | − | 5 | r | r | − | 5 | r | r | r | = | 0 |
方程的解为：
r1≈-1.816271 ，保留6位小数
r2≈0.743831 ，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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