总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 (x-30)*(x-21)*(x-10)-50-50-(x-21)-4*(x-30)-625*(x-10) = 0 的解.
题型:方程
解:原方程: | ( | x | − | 30 | ) | ( | x | − | 21 | ) | ( | x | − | 10 | ) | − | 50 | − | 50 | − | ( | x | − | 21 | ) | − | 4 | ( | x | − | 30 | ) | − | 625 | ( | x | − | 10 | ) | = | 0 |
方程左边 = | ( | x | − | 30 | ) | ( | x | − | 21 | ) | ( | x | − | 10 | ) | − | 100 | − | ( | x | − | 21 | ) | − | 4 | ( | x | − | 30 | ) | − | 625 | ( | x | − | 10 | ) |
方程化为:
| ( | x | − | 30 | ) | ( | x | − | 21 | ) | ( | x | − | 10 | ) | − | 100 | − | ( | x | − | 21 | ) | − | 4 | ( | x | − | 30 | ) | − | 625 | ( | x | − | 10 | ) | = | 0 |
去掉方程左边的括号:
方程左边 = | x | ( | x | − | 21 | ) | ( | x | − | 10 | ) | − | 30 | ( | x | − | 21 | ) | ( | x | − | 10 | ) | − | 100 | − | ( | x | − | 21 | ) | − | 4 | ( | x | − | 30 | ) | − | 625 | ( | x | − | 10 | ) |
= | x | x | ( | x | − | 10 | ) | − | x | × | 21 | ( | x | − | 10 | ) | − | 30 | ( | x | − | 21 | ) | ( | x | − | 10 | ) | − | 100 | − | ( | x | − | 21 | ) | − | 4 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | ( | x | − | 10 | ) | − | 30 | ( | x | − | 21 | ) | ( | x | − | 10 | ) |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | x | × | 21 | × | 10 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | x | × | 210 | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 210 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 210 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 210 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 210 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 510 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 510 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 510 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 1140 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 1140 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 1139 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 1139 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 1139 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 1135 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 1135 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 1135 | x | − | 30 |
= | x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 510 | x | − | 30 |
方程化为:
| x | x | x | − | x | x | × | 10 | − | x | × | 21 | x | + | 510 | x | − | 30 | = | 0 |
方程的解为:
x1≈0.017684 ,保留6位小数
x2≈9.978012 ,保留6位小数
x3≈51.004303 ,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》
你的问题在这里没有得到解决?请到 热门难题 里面看看吧!