总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 -450+619/(1+x)+458/(1+x)/(1+x)+1561/(1+x)/(1+x)/(1+x)+1689/(1+x)/(1+x)/(1+x)/(1+x)+1509/(1+x)/(1+x)/(1+x)/(1+x)/(1+x) = 0 的解.
题型:方程
解:原方程:| | - | 450 | + | 619 | ÷ | ( | 1 | + | x | ) | + | 458 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1561 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | - | 450 | ( | 1 | + | x | ) | + | 619 | + | 458 | ÷ | ( | 1 | + | x | ) | + | 1561 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | - | 450 | × | 1 | − | 450 | x | + | 619 | + | 458 | ÷ | ( | 1 | + | x | ) | + | 1561 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | - | 450 | − | 450 | x | + | 619 | + | 458 | ÷ | ( | 1 | + | x | ) | + | 1561 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 169 | − | 450 | x | + | 458 | ÷ | ( | 1 | + | x | ) | + | 1561 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 169 | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | + | 458 | + | 1561 | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1509 | = | 0 |
去掉方程左边的一个括号:
| | 169 | × | 1 | + | 169 | x | − | 450 | x | ( | 1 | + | x | ) | + | 458 | + | 1561 | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 169 | + | 169 | x | − | 450 | x | ( | 1 | + | x | ) | + | 458 | + | 1561 | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | = | 0 |
方程化简为:
| | 627 | + | 169 | x | − | 450 | x | ( | 1 | + | x | ) | + | 1561 | ÷ | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | ÷ | ( | 1 | + | x | ) | + | 1509 | = | 0 |
| | 627 | ( | 1 | + | x | ) | + | 169 | x | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1561 | + | 1689 | ÷ | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 627 | × | 1 | + | 627 | x | + | 169 | x | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1561 | = | 0 |
方程化简为:
| | 627 | + | 627 | x | + | 169 | x | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1561 | + | 1689 | = | 0 |
方程化简为:
| | 2188 | + | 627 | x | + | 169 | x | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 1689 | ÷ | ( | 1 | + | x | ) | = | 0 |
| | 2188 | ( | 1 | + | x | ) | + | 627 | x | ( | 1 | + | x | ) | + | 169 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 450 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 2188 | × | 1 | + | 2188 | x | + | 627 | x | ( | 1 | + | x | ) | + | 169 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 450 | = | 0 |
方程化简为:
| | 2188 | + | 2188 | x | + | 627 | x | ( | 1 | + | x | ) | + | 169 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 450 | x | = | 0 |
方程化简为:
| | 3877 | + | 2188 | x | + | 627 | x | ( | 1 | + | x | ) | + | 169 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | − | 450 | x | = | 0 |
| | 3877 | ( | 1 | + | x | ) | + | 2188 | x | ( | 1 | + | x | ) | + | 627 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 169 | x | ( | 1 | + | x | ) | = | 0 |
去掉方程左边的一个括号:
| | 3877 | × | 1 | + | 3877 | x | + | 2188 | x | ( | 1 | + | x | ) | + | 627 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 169 | = | 0 |
方程化简为:
| | 3877 | + | 3877 | x | + | 2188 | x | ( | 1 | + | x | ) | + | 627 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 169 | x | = | 0 |
方程化简为:
| | 5386 | + | 3877 | x | + | 2188 | x | ( | 1 | + | x | ) | + | 627 | x | ( | 1 | + | x | ) | ( | 1 | + | x | ) | + | 169 | x | = | 0 |
去掉方程左边的一个括号:
| | 5386 | + | 3877 | x | + | 2188 | x | × | 1 | + | 2188 | x | x | + | 627 | x | ( | 1 | + | x | ) | = | 0 |
x≈1.582811 ,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》
你的问题在这里没有得到解决?请到 热门难题 里面看看吧!