总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 -400+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:| | - | 400 | + | 589 | ÷ | ( | 1 | + | x | ) | + | 428 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | - | 400 | ( | 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:
| | - | 400 | × | 1 | − | 400 | x | + | 589 | + | 428 | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | - | 400 | − | 400 | x | + | 589 | + | 428 | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 189 | − | 400 | x | + | 428 | ÷ | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 189 | ( | 1 | + | x | ) | − | 400 | 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:
| | 189 | × | 1 | + | 189 | x | − | 400 | x | ( | 1 | + | x | ) | + | 428 | + | 1531 | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 189 | + | 189 | x | − | 400 | x | ( | 1 | + | x | ) | + | 428 | + | 1531 | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 617 | + | 189 | x | − | 400 | x | ( | 1 | + | x | ) | + | 1531 | ÷ | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1479 | = | 0 |
| | 617 | ( | 1 | + | x | ) | + | 189 | x | ( | 1 | + | x | ) | − | 400 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1531 | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 617 | × | 1 | + | 617 | x | + | 189 | x | ( | 1 | + | x | ) | − | 400 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1531 | = | 0 |
方程化简为:
| | 617 | + | 617 | x | + | 189 | x | ( | 1 | + | x | ) | − | 400 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1531 | + | 1659 | = | 0 |
方程化简为:
| | 2148 | + | 617 | x | + | 189 | x | ( | 1 | + | x | ) | − | 400 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1659 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 2148 | ( | 1 | + | x | ) | + | 617 | x | ( | 1 | + | x | ) | + | 189 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 400 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 2148 | × | 1 | + | 2148 | x | + | 617 | x | ( | 1 | + | x | ) | + | 189 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 400 | = | 0 |
方程化简为:
| | 2148 | + | 2148 | x | + | 617 | x | ( | 1 | + | x | ) | + | 189 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 400 | x | = | 0 |
方程化简为:
| | 3807 | + | 2148 | x | + | 617 | x | ( | 1 | + | x | ) | + | 189 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 400 | x | = | 0 |
| | 3807 | ( | 1 | + | x | ) | + | 2148 | x | ( | 1 | + | x | ) | + | 617 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 189 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 3807 | × | 1 | + | 3807 | x | + | 2148 | x | ( | 1 | + | x | ) | + | 617 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 189 | = | 0 |
方程化简为:
| | 3807 | + | 3807 | x | + | 2148 | x | ( | 1 | + | x | ) | + | 617 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 189 | x | = | 0 |
方程化简为:
| | 5286 | + | 3807 | x | + | 2148 | x | ( | 1 | + | x | ) | + | 617 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 189 | x | = | 0 |
去掉方程左边的一个括号:
| | 5286 | + | 3807 | x | + | 2148 | x | × | 1 | + | 2148 | x | x | + | 617 | x | ( | 1 | + | x | ) | = | 0 |
x≈1.686237 ,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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