总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 -300+569/(1+x)+408/(1+x)/(1+x)+1511/(1+x)/(1+x)/(1+x)+1639/(1+x)/(1+x)/(1+x)/(1+x)+1459/(1+x)/(1+x)/(1+x)/(1+x)/(1+x) = 0 的解.
题型:方程
解:原方程:| | - | 300 | + | 569 | ÷ | ( | 1 | + | x | ) | + | 408 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1511 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | - | 300 | ( | 1 | + | x | ) | + | 569 | + | 408 | ÷ | ( | 1 | + | x | ) | + | 1511 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | - | 300 | × | 1 | − | 300 | x | + | 569 | + | 408 | ÷ | ( | 1 | + | x | ) | + | 1511 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | - | 300 | − | 300 | x | + | 569 | + | 408 | ÷ | ( | 1 | + | x | ) | + | 1511 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 269 | − | 300 | x | + | 408 | ÷ | ( | 1 | + | x | ) | + | 1511 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 269 | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | + | 408 | + | 1511 | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1459 | = | 0 |
去掉方程左边的一个括号:
| | 269 | × | 1 | + | 269 | x | − | 300 | x | ( | 1 | + | x | ) | + | 408 | + | 1511 | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 269 | + | 269 | x | − | 300 | x | ( | 1 | + | x | ) | + | 408 | + | 1511 | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 677 | + | 269 | x | − | 300 | x | ( | 1 | + | x | ) | + | 1511 | ÷ | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1459 | = | 0 |
| | 677 | ( | 1 | + | x | ) | + | 269 | x | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1511 | + | 1639 | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 677 | × | 1 | + | 677 | x | + | 269 | x | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1511 | = | 0 |
方程化简为:
| | 677 | + | 677 | x | + | 269 | x | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1511 | + | 1639 | = | 0 |
方程化简为:
| | 2188 | + | 677 | x | + | 269 | x | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1639 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 2188 | ( | 1 | + | x | ) | + | 677 | x | ( | 1 | + | x | ) | + | 269 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 300 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 2188 | × | 1 | + | 2188 | x | + | 677 | x | ( | 1 | + | x | ) | + | 269 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 300 | = | 0 |
方程化简为:
| | 2188 | + | 2188 | x | + | 677 | x | ( | 1 | + | x | ) | + | 269 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 300 | x | = | 0 |
方程化简为:
| | 3827 | + | 2188 | x | + | 677 | x | ( | 1 | + | x | ) | + | 269 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 300 | x | = | 0 |
| | 3827 | ( | 1 | + | x | ) | + | 2188 | x | ( | 1 | + | x | ) | + | 677 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 269 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 3827 | × | 1 | + | 3827 | x | + | 2188 | x | ( | 1 | + | x | ) | + | 677 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 269 | = | 0 |
方程化简为:
| | 3827 | + | 3827 | x | + | 2188 | x | ( | 1 | + | x | ) | + | 677 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 269 | x | = | 0 |
方程化简为:
| | 5286 | + | 3827 | x | + | 2188 | x | ( | 1 | + | x | ) | + | 677 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 269 | x | = | 0 |
去掉方程左边的一个括号:
| | 5286 | + | 3827 | x | + | 2188 | x | × | 1 | + | 2188 | x | x | + | 677 | x | ( | 1 | + | x | ) | = | 0 |
x≈2.097412 ,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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