总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 -300+649/(1+x)+488/(1+x)/(1+x)+1591/(1+x)/(1+x)/(1+x)+1719/(1+x)/(1+x)/(1+x)/(1+x)+1539/(1+x)/(1+x)/(1+x)/(1+x)/(1+x) = 0 的解.
题型:方程
解:原方程:| | - | 300 | + | 649 | ÷ | ( | 1 | + | x | ) | + | 488 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1591 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | - | 300 | ( | 1 | + | x | ) | + | 649 | + | 488 | ÷ | ( | 1 | + | x | ) | + | 1591 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | - | 300 | × | 1 | − | 300 | x | + | 649 | + | 488 | ÷ | ( | 1 | + | x | ) | + | 1591 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | - | 300 | − | 300 | x | + | 649 | + | 488 | ÷ | ( | 1 | + | x | ) | + | 1591 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 349 | − | 300 | x | + | 488 | ÷ | ( | 1 | + | x | ) | + | 1591 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 349 | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | + | 488 | + | 1591 | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1539 | = | 0 |
去掉方程左边的一个括号:
| | 349 | × | 1 | + | 349 | x | − | 300 | x | ( | 1 | + | x | ) | + | 488 | + | 1591 | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 349 | + | 349 | x | − | 300 | x | ( | 1 | + | x | ) | + | 488 | + | 1591 | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 837 | + | 349 | x | − | 300 | x | ( | 1 | + | x | ) | + | 1591 | ÷ | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1539 | = | 0 |
| | 837 | ( | 1 | + | x | ) | + | 349 | x | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1591 | + | 1719 | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 837 | × | 1 | + | 837 | x | + | 349 | x | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1591 | = | 0 |
方程化简为:
| | 837 | + | 837 | x | + | 349 | x | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1591 | + | 1719 | = | 0 |
方程化简为:
| | 2428 | + | 837 | x | + | 349 | x | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1719 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 2428 | ( | 1 | + | x | ) | + | 837 | x | ( | 1 | + | x | ) | + | 349 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 2428 | × | 1 | + | 2428 | x | + | 837 | x | ( | 1 | + | x | ) | + | 349 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 300 | = | 0 |
方程化简为:
| | 2428 | + | 2428 | x | + | 837 | x | ( | 1 | + | x | ) | + | 349 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 300 | x | = | 0 |
方程化简为:
| | 4147 | + | 2428 | x | + | 837 | x | ( | 1 | + | x | ) | + | 349 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 300 | x | = | 0 |
| | 4147 | ( | 1 | + | x | ) | + | 2428 | x | ( | 1 | + | x | ) | + | 837 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 349 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 4147 | × | 1 | + | 4147 | x | + | 2428 | x | ( | 1 | + | x | ) | + | 837 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 349 | = | 0 |
方程化简为:
| | 4147 | + | 4147 | x | + | 2428 | x | ( | 1 | + | x | ) | + | 837 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 349 | x | = | 0 |
方程化简为:
| | 5686 | + | 4147 | x | + | 2428 | x | ( | 1 | + | x | ) | + | 837 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 349 | x | = | 0 |
去掉方程左边的一个括号:
| | 5686 | + | 4147 | x | + | 2428 | x | × | 1 | + | 2428 | x | x | + | 837 | x | ( | 1 | + | x | ) | = | 0 |
x≈2.328136 ,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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