总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 (13-2x)/(11-2x)+(17-2x)/(15-2x) = (19-2x)/(17-2x)+(11-2x)/(9-2x) 的解.
题型:方程
解:原方程:| | ( | 13 | − | 2 | x | ) | ÷ | ( | 11 | − | 2 | x | ) | + | ( | 17 | − | 2 | x | ) | ÷ | ( | 15 | − | 2 | x | ) | = | ( | 19 | − | 2 | x | ) | ÷ | ( | 17 | − | 2 | x | ) | + | ( | 11 | − | 2 | x | ) | ÷ | ( | 9 | − | 2 | x | ) |
| 方程两边同时乘以: | ( | 11 | − | 2 | x | ) | , | ( | 17 | − | 2 | x | ) |
| | ( | 13 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) | + | ( | 17 | − | 2 | x | ) | ÷ | ( | 15 | − | 2 | x | ) | × | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) | = | ( | 19 | − | 2 | x | ) | ( | 11 | − | 2 | x | ) | + | ( | 11 | − | 2 | x | ) | ÷ | ( | 9 | − | 2 | x | ) | × | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) |
去掉方程左边的一个括号:
| | 13 | ( | 17 | − | 2 | x | ) | − | 2 | x | ( | 17 | − | 2 | x | ) | + | ( | 17 | − | 2 | x | ) | ÷ | ( | 15 | − | 2 | x | ) | × | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) | = | ( | 19 | − | 2 | x | ) | ( | 11 | − | 2 | x | ) | + | ( | 11 | − | 2 | x | ) | ÷ | ( | 9 | − | 2 | x | ) | × | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) |
去掉方程右边的一个括号:
| | 13 | ( | 17 | − | 2 | x | ) | − | 2 | x | ( | 17 | − | 2 | x | ) | + | ( | 17 | − | 2 | x | ) | ÷ | ( | 15 | − | 2 | x | ) | × | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) | = | 19 | ( | 11 | − | 2 | x | ) | − | 2 | x | ( | 11 | − | 2 | x | ) | + | ( | 11 | − | 2 | x | ) | ÷ | ( | 9 | − | 2 | x | ) | × | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) |
| 方程两边同时乘以: | ( | 15 | − | 2 | x | ) | , | ( | 9 | − | 2 | x | ) |
| | 13 | ( | 17 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 17 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | + | ( | 17 | − | 2 | x | ) | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) | = | 19 | ( | 11 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 11 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | + | ( | 11 | − | 2 | x | ) | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) |
去掉方程左边的一个括号:
| | 13 | × | 17 | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 13 | × | 2 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 17 | − | 2 | x | ) | = | 19 | ( | 11 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 11 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | + | ( | 11 | − | 2 | x | ) | ( | 11 | − | 2 | x | ) | ( | 17 | − | 2 | x | ) |
去掉方程右边的一个括号:
| | 13 | × | 17 | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 13 | × | 2 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 17 | − | 2 | x | ) | = | 19 | × | 11 | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 19 | × | 2 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 11 | − | 2 | x | ) |
方程化简为:
| | 221 | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 17 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | = | 209 | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 11 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) |
去掉方程左边的一个括号:
| | 221 | × | 15 | ( | 9 | − | 2 | x | ) | − | 221 | × | 2 | x | ( | 9 | − | 2 | x | ) | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | = | 209 | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 11 | − | 2 | x | ) | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) |
去掉方程右边的一个括号:
| | 221 | × | 15 | ( | 9 | − | 2 | x | ) | − | 221 | × | 2 | x | ( | 9 | − | 2 | x | ) | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | = | 209 | × | 15 | ( | 9 | − | 2 | x | ) | − | 209 | × | 2 | x | ( | 9 | − | 2 | x | ) | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 |
方程化简为:
| | 3315 | ( | 9 | − | 2 | x | ) | − | 442 | x | ( | 9 | − | 2 | x | ) | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 17 | − | 2 | x | ) | = | 3135 | ( | 9 | − | 2 | x | ) | − | 418 | x | ( | 9 | − | 2 | x | ) | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 11 | − | 2 | x | ) |
去掉方程左边的一个括号:
| | 3315 | × | 9 | − | 3315 | × | 2 | x | − | 442 | x | ( | 9 | − | 2 | x | ) | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | = | 3135 | ( | 9 | − | 2 | x | ) | − | 418 | x | ( | 9 | − | 2 | x | ) | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | ( | 11 | − | 2 | x | ) |
去掉方程右边的一个括号:
| | 3315 | × | 9 | − | 3315 | × | 2 | x | − | 442 | x | ( | 9 | − | 2 | x | ) | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | = | 3135 | × | 9 | − | 3135 | × | 2 | x | − | 418 | x | ( | 9 | − | 2 | x | ) | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) |
方程化简为:
| | 29835 | − | 6630 | x | − | 442 | x | ( | 9 | − | 2 | x | ) | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | = | 28215 | − | 6270 | x | − | 418 | x | ( | 9 | − | 2 | x | ) | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x |
去掉方程左边的一个括号:
| | 29835 | − | 6630 | x | − | 442 | x | × | 9 | + | 442 | x | × | 2 | x | − | 26 | x | = | 28215 | − | 6270 | x | − | 418 | x | ( | 9 | − | 2 | x | ) | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x |
去掉方程右边的一个括号:
| | 29835 | − | 6630 | x | − | 442 | x | × | 9 | + | 442 | x | × | 2 | x | − | 26 | x | = | 28215 | − | 6270 | x | − | 418 | x | × | 9 | + | 418 | x | × | 2 | x | − | 38 | x |
方程化简为:
| | 29835 | − | 6630 | x | − | 3978 | x | + | 884 | x | x | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | = | 28215 | − | 6270 | x | − | 3762 | x | + | 836 | x | x | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) |
方程化简为:
| | 29835 | − | 10608 | x | + | 884 | x | x | − | 26 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x | = | 28215 | − | 10032 | x | + | 836 | x | x | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x |
去掉方程左边的一个括号:
| | 29835 | − | 10608 | x | + | 884 | x | x | − | 26 | x | × | 15 | ( | 9 | − | 2 | x | ) | + | 26 | x | = | 28215 | − | 10032 | x | + | 836 | x | x | − | 38 | x | ( | 15 | − | 2 | x | ) | ( | 9 | − | 2 | x | ) | − | 2 | x |
去掉方程右边的一个括号:
| | 29835 | − | 10608 | x | + | 884 | x | x | − | 26 | x | × | 15 | ( | 9 | − | 2 | x | ) | + | 26 | x | = | 28215 | − | 10032 | x | + | 836 | x | x | − | 38 | x | × | 15 | ( | 9 | − | 2 | x | ) | + | 38 | x |
方程化简为:
| | 29835 | − | 10608 | x | + | 884 | x | x | − | 390 | x | ( | 9 | − | 2 | x | ) | + | 52 | x | x | = | 28215 | − | 10032 | x | + | 836 | x | x | − | 570 | x | ( | 9 | − | 2 | x | ) | + | 76 | x | x |
去掉方程左边的一个括号:
| | 29835 | − | 10608 | x | + | 884 | x | x | − | 390 | x | × | 9 | + | 390 | x | × | 2 | = | 28215 | − | 10032 | x | + | 836 | x | x | − | 570 | x | ( | 9 | − | 2 | x | ) | + | 76 | x | x |
去掉方程右边的一个括号:
| | 29835 | − | 10608 | x | + | 884 | x | x | − | 390 | x | × | 9 | + | 390 | x | × | 2 | = | 28215 | − | 10032 | x | + | 836 | x | x | − | 570 | x | × | 9 | + | 570 | x | × | 2 |
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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