总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 2(x-5)(2x-1)(x-3)-(2x-5)(2x-1)(x-3) = 2(x-5)(2x-5)(x-3)-(2x-5)(2x-1)(x-5) 的解.
题型:方程
解:原方程:| | 2 | ( | x | − | 5 | ) | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) | − | ( | 2 | x | − | 5 | ) | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) | = | 2 | ( | x | − | 5 | ) | ( | 2 | x | − | 5 | ) | ( | x | − | 3 | ) | − | ( | 2 | x | − | 5 | ) | ( | 2 | x | − | 1 | ) | ( | x | − | 5 | ) |
去掉方程左边的括号:
| 方程左边 = | 2 | x | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) | − | 2 | × | 5 | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) | − | ( | 2 | x | − | 5 | ) | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) |
| = | 2 | x | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) | − | 10 | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) | − | ( | 2 | x | − | 5 | ) | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) |
| = | 2 | x | × | 2 | x | ( | x | − | 3 | ) | − | 2 | x | × | 1 | ( | x | − | 3 | ) | − | 10 | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) |
| = | 4 | x | x | ( | x | − | 3 | ) | − | 2 | x | ( | x | − | 3 | ) | − | 10 | ( | 2 | x | − | 1 | ) | ( | x | − | 3 | ) | − | ( | 2 | x | − | 5 | ) | ( | 2 | x | − | 1 | ) |
| = | 4 | x | x | x | − | 4 | x | x | × | 3 | − | 2 | x | ( | x | − | 3 | ) | − | 10 |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | ( | x | − | 3 | ) | − | 10 | ( | 2 | x | − | 1 | ) |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 2 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 6 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 6 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 6 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 6 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 6 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 66 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 66 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 66 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 76 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 76 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 76 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 76 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 76 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 76 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 76 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 76 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 70 | x |
| = | 4 | x | x | x | − | 12 | x | x | − | 2 | x | x | + | 70 | x |
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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