总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 84 = (num9*num6*num3+num8*num5*num2)+(num9*num6*num2-num8*num5*num3)+(num8*num6*num3-num9*num5*num2)+(num9*num5*num3+num8*num6*num2) 的解.
题型:方程
解:原方程: | 84 | = | ( | n | × | 9 | n | × | 6 | n | × | 3 | + | n | × | 8 | n | × | 5 | n | × | 2 | ) | + | ( | n | × | 9 | n | × | 6 | n | × | 2 | − | n | × | 8 | n | × | 5 | n | × | 3 | ) | + | ( | n | × | 8 | n | × | 6 | n | × | 3 | − | n | × | 9 | n | × | 5 | n | × | 2 | ) | + | ( | n | × | 9 | n | × | 5 | n | × | 3 | + | n | × | 8 | n | × | 6 | n | × | 2 | ) |
去掉方程右边的括号:
方程右边 = | n | × | 9 | n | × | 6 | n | × | 3 | + | n | × | 8 | n | × | 5 | n | × | 2 |
= | n | × | 162 | n | n | + | n | × | 80 | n | n | + | ( | n | × | 9 | n | × | 6 | n | × | 2 | − | n | × | 8 | n | × | 5 | n | × | 3 | ) | + | ( | n | × | 8 | n | × | 6 | n | × | 3 | − | n | × | 9 | n | × | 5 | n | × | 2 | ) | + | ( | n | × | 9 | n | × | 5 | n | × | 3 | + | n | × | 8 | n | × | 6 | n | × | 2 | ) |
= | n | × | 162 | n | n | + | n | × | 80 | n | n | + | n | × | 9 | n | × | 6 |
= | n | × | 162 | n | n | + | n | × | 80 | n | n | + | n | × | 108 | n | n |
= | n | × | 162 | n | n | + | n | × | 80 | n | n | + | n | × | 108 | n | n |
= | n | × | 162 | n | n | + | n | × | 80 | n | n | + | n | × | 108 | n | n |
= | n | × | 162 | n | n | + | n | × | 80 | n | n | + | n | × | 108 | n | n |
= | n | × | 162 | n | n | + | n | × | 80 | n | n | + | n | × | 108 | n | n |
方程化为:
| 84 | = | n | × | 162 | n | n | + | n | × | 80 | n | n | + | n | × | 108 | n | n |
方程的解为:
num≈0.546375 ,保留6位小数
有 1个解。
解方程的详细方法请参阅:《方程的解法》
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