总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 ((((((((((((((300+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83)×x+83 = 2909.6 的解.
题型:方程
解:原方程:| | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | = | 14548 5 |
去掉方程左边的括号:
| 方程左边 = | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | + | 83 | x | + | 83 |
| = | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | + | 83 | x | x | + | 83 | x | + | 83 |
| = | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | + | 83 | x | x | x | + | 83 | x | x |
| = | ( | ( | ( | ( | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | + | 83 | x | x | x | x | + | 83 |
| = | ( | ( | ( | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | x | + | 83 | x | x | x | x |
| = | ( | ( | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | x | x | + | 83 | x | x | x |
| = | ( | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | x | x | x | + | 83 | x | x |
| = | ( | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | x | x | x | x | + | 83 | x |
| = | ( | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | x | x | x | x | x | + | 83 |
| = | ( | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | x | x | x | x | x | x |
| = | ( | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | x | x | x | x | x | x |
| = | ( | ( | 300 | + | 83 | ) | x | + | 83 | ) | x | x | x | x | x | x | x | x | x | x | x |
| = | ( | 300 | + | 83 | ) | x | x | x | x | x | x | x | x | x | x | x |
| = | 300 | x | x | x | x | x | x | x | x | x | x | x |
方程化为:
| | 300 | x | x | x | x | x | x | x | x | x | x | x | = | 14548 5 |
方程的解为:
x1≈-1.163496 ,保留6位小数
x2≈1.071904 ,保留6位小数
有 2个解。
解程的详细方法请参阅:《方程的解法》
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