总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 -450+589/(1+x)+428/(1+x)/(1+x)+1531/(1+x)/(1+x)/(1+x)+1659/(1+x)/(1+x)/(1+x)/(1+x)+1479/(1+x)/(1+x)/(1+x)/(1+x)/(1+x) = 0 的解.
题型:方程
解:原方程:| | - | 450 | + | 589 | ÷ | ( | 1 | + | x | ) | + | 428 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | - | 450 | ( | 1 | + | x | ) | + | 589 | + | 428 | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | - | 450 | × | 1 | − | 450 | x | + | 589 | + | 428 | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | - | 450 | − | 450 | x | + | 589 | + | 428 | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 139 | − | 450 | x | + | 428 | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 139 | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | + | 428 | + | 1531 | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1479 | = | 0 |
去掉方程左边的一个括号:
| | 139 | × | 1 | + | 139 | x | − | 450 | x | ( | 1 | + | x | ) | + | 428 | + | 1531 | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 139 | + | 139 | x | − | 450 | x | ( | 1 | + | x | ) | + | 428 | + | 1531 | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 567 | + | 139 | x | − | 450 | x | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1479 | = | 0 |
| | 567 | ( | 1 | + | x | ) | + | 139 | x | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1531 | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 567 | × | 1 | + | 567 | x | + | 139 | x | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1531 | = | 0 |
方程化简为:
| | 567 | + | 567 | x | + | 139 | x | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1531 | + | 1659 | = | 0 |
方程化简为:
| | 2098 | + | 567 | x | + | 139 | x | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 2098 | ( | 1 | + | x | ) | + | 567 | x | ( | 1 | + | x | ) | + | 139 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 2098 | × | 1 | + | 2098 | x | + | 567 | x | ( | 1 | + | x | ) | + | 139 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 450 | = | 0 |
方程化简为:
| | 2098 | + | 2098 | x | + | 567 | x | ( | 1 | + | x | ) | + | 139 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 450 | x | = | 0 |
方程化简为:
| | 3757 | + | 2098 | x | + | 567 | x | ( | 1 | + | x | ) | + | 139 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 450 | x | = | 0 |
| | 3757 | ( | 1 | + | x | ) | + | 2098 | x | ( | 1 | + | x | ) | + | 567 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 139 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 3757 | × | 1 | + | 3757 | x | + | 2098 | x | ( | 1 | + | x | ) | + | 567 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 139 | = | 0 |
方程化简为:
| | 3757 | + | 3757 | x | + | 2098 | x | ( | 1 | + | x | ) | + | 567 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 139 | x | = | 0 |
方程化简为:
| | 5236 | + | 3757 | x | + | 2098 | x | ( | 1 | + | x | ) | + | 567 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 139 | x | = | 0 |
去掉方程左边的一个括号:
| | 5236 | + | 3757 | x | + | 2098 | x | × | 1 | + | 2098 | x | x | + | 567 | x | ( | 1 | + | x | ) | = | 0 |
x≈1.527060 ,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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