总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 (x+2)(x+3)(x+1)+(x-1)(x+3)(x+1)+(x-1)(x+2)(x+1)-(x-1)(x+2)(x+3) = 0 的解.
题型:方程
解:原方程:| | ( | x | + | 2 | ) | ( | x | + | 3 | ) | ( | x | + | 1 | ) | + | ( | x | − | 1 | ) | ( | x | + | 3 | ) | ( | x | + | 1 | ) | + | ( | x | − | 1 | ) | ( | x | + | 2 | ) | ( | x | + | 1 | ) | − | ( | x | − | 1 | ) | ( | x | + | 2 | ) | ( | x | + | 3 | ) | = | 0 |
去掉方程左边的括号:
| 方程左边 = | x | ( | x | + | 3 | ) | ( | x | + | 1 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 1 | ) | + | ( | x | − | 1 | ) | ( | x | + | 3 | ) | ( | x | + | 1 | ) | + | ( | x | − | 1 | ) | ( | x | + | 2 | ) | ( | x | + | 1 | ) |
| = | x | x | ( | x | + | 1 | ) | + | x | × | 3 | ( | x | + | 1 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 1 | ) | + | ( | x | − | 1 | ) | ( | x | + | 3 | ) | ( | x | + | 1 | ) |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | ( | x | + | 1 | ) | + | 2 | ( | x | + | 3 | ) | ( | x | + | 1 | ) |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | x | × | 3 | × | 1 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | x | × | 3 | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 3 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 3 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 3 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 3 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 5 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 5 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 5 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 11 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 11 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 11 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 11 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 11 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 11 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 14 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 14 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 14 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 14 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 14 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 13 | x | + | 2 |
| = | x | x | x | + | x | x | × | 1 | + | x | × | 3 | x | + | 13 | x | + | 2 |
x≈-2.450540 ,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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