总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 (x-88*88)*(x-88*88)*(x-1)*(x-1)-4536*88*88*(x-1)*(x-1)+12169*88*88 = 0 的解.
题型:方程
解:原方程:| | ( | x | − | 88 | × | 88 | ) | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 4536 | × | 88 | × | 88 | ( | x | − | 1 | ) | ( | x | − | 1 | ) | + | 12169 | × | 88 | × | 88 | = | 0 |
| 方程左边 = | ( | x | − | 88 | × | 88 | ) | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 35126784 | ( | x | − | 1 | ) | ( | x | − | 1 | ) | + | 94236736 |
方程化为:
| | ( | x | − | 88 | × | 88 | ) | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 35126784 | ( | x | − | 1 | ) | ( | x | − | 1 | ) | + | 94236736 | = | 0 |
去掉方程左边的括号:
| 方程左边 = | x | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 88 | × | 88 | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 35126784 | ( | x | − | 1 | ) | ( | x | − | 1 | ) |
| = | x | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 7744 | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 35126784 | ( | x | − | 1 | ) | ( | x | − | 1 | ) | + | 94236736 |
| = | x | x | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | x | × | 88 | × | 88 | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 7744 | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) |
| = | x | x | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | x | × | 7744 | ( | x | − | 1 | ) | ( | x | − | 1 | ) | − | 7744 | ( | x | − | 88 | × | 88 | ) | ( | x | − | 1 | ) | ( | x | − | 1 | ) |
| = | x | x | x | ( | x | − | 1 | ) | − | x | x | × | 1 | ( | x | − | 1 | ) | − | x | × | 7744 | ( | x | − | 1 | ) | ( | x | − | 1 | ) |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | ( | x | − | 1 | ) |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
| = | x | x | x | x | − | x | x | x | × | 1 | − | x | x | × | 1 | x |
x≈1817.217109 ,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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