总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 (1+m/2%)×1000×(1+m%)×500 = 660000 的解.
题型:方程
解:原方程:| | ( | 1 | + | m | ÷ | 2 100 | ) | × | 1000 | ( | 1 | + | m% | ) | × | 500 | = | 660000 |
| 方程左边 = | ( | 1 | + | m | ÷ | 2 100 | ) | × | 500000 | ( | 1 | + | m% | ) |
方程化为:
| | ( | 1 | + | m | ÷ | 2 100 | ) | × | 500000 | ( | 1 | + | m% | ) | = | 660000 |
去掉方程左边的括号:
| 方程左边 = | 1 | × | 500000 | ( | 1 | + | m% | ) | + | m | ÷ | 2 100 | × | 500000 | ( | 1 | + | m% | ) |
| = | 500000 | ( | 1 | + | m% | ) | + | m | × | 25000000 | ( | 1 | + | m% | ) |
| = | 500000 | × | 1 | + | 500000 | × | m% | + | m | × | 25000000 | ( | 1 | + | m% | ) |
| = | 500000 | + | 5000 | m | + | m | × | 25000000 | ( | 1 | + | m% | ) |
| = | 500000 | + | 5000 | m | + | m | × | 25000000 | × | 1 | + | m | × | 25000000 | × | m% |
| = | 500000 | + | 5000 | m | + | m | × | 25000000 | + | m | × | 250000 | m |
| = | 500000 | + | 25005000 | m | + | m | × | 250000 | m |
方程化为:
| | 500000 | + | 25005000 | m | + | m | × | 250000 | m | = | 660000 |
m=20
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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