总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 11253*330+500*(1100-x) = (128*x/(1100-x)+(x-60)*128/(1100-x))/2*1400*60+0.5*128*x*x/(1100-x)*100 的解.
题型:方程
解:原方程:| | 11253 | × | 330 | + | 500 | ( | 1100 | − | x | ) | = | ( | 128 | x | ÷ | ( | 1100 | − | x | ) | + | ( | x | − | 60 | ) | × | 128 | ÷ | ( | 1100 | − | x | ) | ) | ÷ | 2 | × | 1400 | × | 60 | + | 1 2 | × | 128 | x | x | ÷ | ( | 1100 | − | x | ) | × | 100 |
| | 11253 | × | 330 | ( | 1100 | − | x | ) | + | 500 | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | = | ( | 128 | x | ÷ | ( | 1100 | − | x | ) | + | ( | x | − | 60 | ) | × | 128 | ÷ | ( | 1100 | − | x | ) | ) | ÷ | 2 | × | 1400 | × | 60 | ( | 1100 | − | x | ) | + | 1 2 | × | 128 | x | x | × | 100 |
去掉方程左边的一个括号:
| | 11253 | × | 330 | × | 1100 | − | 11253 | × | 330 | x | + | 500 | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | = | ( | 128 | x | ÷ | ( | 1100 | − | x | ) | + | ( | x | − | 60 | ) | × | 128 | ÷ | ( | 1100 | − | x | ) | ) | ÷ | 2 | × | 1400 | × | 60 | ( | 1100 | − | x | ) | + | 1 2 | × | 128 | x | x | × | 100 |
去掉方程右边的一个括号:
| | 11253 | × | 330 | × | 1100 | − | 11253 | × | 330 | x | + | 500 | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | = | 128 | x | ÷ | ( | 1100 | − | x | ) | ÷ | 2 | × | 1400 | × | 60 | ( | 1100 | − | x | ) | + | ( | x | − | 60 | ) | × | 128 | ÷ | ( | 1100 | − | x | ) | ÷ | 2 | × | 1400 |
方程化简为:
| | 4084839000 | − | 3713490 | x | + | 500 | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | = | 5376000 | x | ÷ | ( | 1100 | − | x | ) | × | ( | 1100 | − | x | ) | + | ( | x | − | 60 | ) | × | 5376000 | ÷ | ( | 1100 | − | x | ) | × | ( | 1100 | − | x | ) | + | 6400 | x | x |
| | 4084839000 | ( | 1100 | − | x | ) | − | 3713490 | x | ( | 1100 | − | x | ) | + | 500 | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | = | 5376000 | x | ( | 1100 | − | x | ) | + | ( | x | − | 60 | ) | × | 5376000 | ( | 1100 | − | x | ) | + | 6400 | x | x | ( | 1100 | − | x | ) |
去掉方程左边的一个括号:
| | 4084839000 | × | 1100 | − | 4084839000 | x | − | 3713490 | x | ( | 1100 | − | x | ) | + | 500 | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | = | 5376000 | x | ( | 1100 | − | x | ) | + | ( | x | − | 60 | ) | × | 5376000 | ( | 1100 | − | x | ) | + | 6400 | x | x | ( | 1100 | − | x | ) |
去掉方程右边的一个括号:
| | 4084839000 | × | 1100 | − | 4084839000 | x | − | 3713490 | x | ( | 1100 | − | x | ) | + | 500 | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | ( | 1100 | − | x | ) | = | 5376000 | x | × | 1100 | − | 5376000 | x | x | + | ( | x | − | 60 | ) | × | 5376000 | ( | 1100 | − | x | ) | + | 6400 | x | x |
方程的解为:
x≈290.116752 ,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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