总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 1/d+1/(d+25)+1/(d+100) = 1/(d+38) 的解.
题型:方程
解:原方程:| | 1 | ÷ | d | + | 1 | ÷ | ( | d | + | 25 | ) | + | 1 | ÷ | ( | d | + | 100 | ) | = | 1 | ÷ | ( | d | + | 38 | ) |
| | 1 | ( | d | + | 38 | ) | + | 1 | ÷ | ( | d | + | 25 | ) | × | d | ( | d | + | 38 | ) | + | 1 | ÷ | ( | d | + | 100 | ) | × | d | ( | d | + | 38 | ) | = | 1 | d |
去掉方程左边的一个括号:
| | 1 | d | + | 1 | × | 38 | + | 1 | ÷ | ( | d | + | 25 | ) | × | d | ( | d | + | 38 | ) | + | 1 | ÷ | ( | d | + | 100 | ) | × | d | ( | d | + | 38 | ) | = | 1 | d |
方程化简为:
| | 1 | d | + | 38 | + | 1 | ÷ | ( | d | + | 25 | ) | × | d | ( | d | + | 38 | ) | + | 1 | ÷ | ( | d | + | 100 | ) | × | d | ( | d | + | 38 | ) | = | 1 | d |
| | 1 | d | ( | d | + | 25 | ) | + | 38 | ( | d | + | 25 | ) | + | 1 | d | ( | d | + | 38 | ) | + | 1 | ÷ | ( | d | + | 100 | ) | × | d | ( | d | + | 38 | ) | = | 1 | d | ( | d | + | 25 | ) |
去掉方程左边的一个括号:
| | 1 | d | d | + | 1 | d | × | 25 | + | 38 | ( | d | + | 25 | ) | + | 1 | d | ( | d | + | 38 | ) | + | 1 | = | 1 | d | ( | d | + | 25 | ) |
去掉方程右边的一个括号:
| | 1 | d | d | + | 1 | d | × | 25 | + | 38 | ( | d | + | 25 | ) | + | 1 | d | ( | d | + | 38 | ) | + | 1 | = | 1 | d | d | + | 1 | d | × | 25 |
方程化简为:
| | 1 | d | d | + | 25 | d | + | 38 | ( | d | + | 25 | ) | + | 1 | d | ( | d | + | 38 | ) | + | 1 | ÷ | ( | d | + | 100 | ) | = | 1 | d | d | + | 25 | d |
| | 1 | d | d | ( | d | + | 100 | ) | + | 25 | d | ( | d | + | 100 | ) | + | 38 | ( | d | + | 25 | ) | ( | d | + | 100 | ) | + | 1 | d | = | 1 | d | d | ( | d | + | 100 | ) | + | 25 | d | ( | d | + | 100 | ) |
去掉方程左边的一个括号:
| | 1 | d | d | d | + | 1 | d | d | × | 100 | + | 25 | d | ( | d | + | 100 | ) | + | 38 | = | 1 | d | d | ( | d | + | 100 | ) | + | 25 | d | ( | d | + | 100 | ) |
去掉方程右边的一个括号:
| | 1 | d | d | d | + | 1 | d | d | × | 100 | + | 25 | d | ( | d | + | 100 | ) | + | 38 | = | 1 | d | d | d | + | 1 | d | d | × | 100 | + | 25 | d | ( | d | + | 100 | ) |
方程化简为:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | ( | d | + | 100 | ) | + | 38 | ( | d | + | 25 | ) | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | ( | d | + | 100 | ) |
去掉方程左边的一个括号:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 25 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | ( | d | + | 100 | ) |
去掉方程右边的一个括号:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 25 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 25 | d |
方程化简为:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
去掉方程左边的一个括号:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
方程化简为:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
去掉方程左边的一个括号:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
方程化简为:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
方程化简为:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 6300 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
去掉方程左边的一个括号:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 6300 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
方程化简为:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 6300 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
方程化简为:
| | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 7250 | d | = | 1 | d | d | d | + | 100 | d | d | + | 25 | d | d | + | 2500 | d |
d≈-14.871593 ,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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