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)×(6-2x)×(x-5)+30-60+9×(6-2x)+100×(2-x)+2×(x-5) = 0 的解.
题型：方程
解:原方程：| | ( | 2 | − | x | ) | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | + | 30 | − | 60 | + | 9 | ( | 6 | − | 2 | x | ) | + | 100 | ( | 2 | − | x | ) | + | 2 | ( | x | − | 5 | ) | = | 0 |
| 方程左边 = | ( | 2 | − | x | ) | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | − | 30 | + | 9 | ( | 6 | − | 2 | x | ) | + | 100 | ( | 2 | − | x | ) | + | 2 | ( | x | − | 5 | ) |
方程化为：
| | ( | 2 | − | x | ) | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | − | 30 | + | 9 | ( | 6 | − | 2 | x | ) | + | 100 | ( | 2 | − | x | ) | + | 2 | ( | x | − | 5 | ) | = | 0 |
去掉方程左边的括号：
| 方程左边 = | 2 | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | − | 30 | + | 9 | ( | 6 | − | 2 | x | ) | + | 100 | ( | 2 | − | x | ) | + | 2 |
| = | 2 | × | 6 | ( | x | − | 5 | ) | − | 2 | × | 2 | x | ( | x | − | 5 | ) | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | − | 30 | + | 9 |
| = | 12 | ( | x | − | 5 | ) | − | 4 | x | ( | x | − | 5 | ) | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | − | 30 | + | 9 | ( | 6 | − | 2 | x | ) | + | 100 |
| = | 12 | x | − | 12 | × | 5 | − | 4 | x | ( | x | − | 5 | ) | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | − | 30 | + | 9 |
| = | 12 | x | − | 60 | − | 4 | x | ( | x | − | 5 | ) | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | − | 30 | + | 9 | ( | 6 | − | 2 | x | ) |
| = | 12 | x | − | 90 | − | 4 | x | ( | x | − | 5 | ) | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | + | 9 | ( | 6 | − | 2 | x | ) | + | 100 |
| = | 12 | x | − | 90 | − | 4 | x | x | + | 4 | x | × | 5 | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) |
| = | 12 | x | − | 90 | − | 4 | x | x | + | 20 | x | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | + | 9 |
| = | 32 | x | − | 90 | − | 4 | x | x | − | x | ( | 6 | − | 2 | x | ) | ( | x | − | 5 | ) | + | 9 | ( | 6 | − | 2 | x | ) | + | 100 |
| = | 32 | x | − | 90 | − | 4 | x | x | − | x | × | 6 | ( | x | − | 5 | ) | + | x | × | 2 | x |
| = | 32 | x | − | 90 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 6 | × | 5 |
| = | 32 | x | − | 90 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 30 | + | x |
| = | 62 | x | − | 90 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | 62 | x | − | 90 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | 62 | x | − | 90 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | 62 | x | − | 90 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | 62 | x | − | 90 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | 44 | x | − | 36 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | 44 | x | − | 36 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | 44 | x | − | 36 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | - | 56 | x | + | 164 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | - | 56 | x | + | 164 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
| = | - | 56 | x | + | 164 | − | 4 | x | x | − | x | × | 6 | x | + | x | × | 2 | x |
方程的解为：
x1≈-3.575338 ，保留6位小数
x2≈1.834284 ，保留6位小数
x3≈11.741054 ，保留6位小数
有 3个解。
解程的详细方法请参阅：《方程的解法》
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