总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 7-18(26-6x)+(38-12x)*(-12)+6(38-12x)+12(26-6x)+12*17 = 0 的解.
题型:方程
解:原方程:| | 7 | − | 18 | ( | 26 | − | 6 | x | ) | + | ( | 38 | − | 12 | x | ) | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) | + | 12 | × | 17 | = | 0 |
| 方程左边 = | 7 | − | 18 | ( | 26 | − | 6 | x | ) | + | ( | 38 | − | 12 | x | ) | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) | + | 204 |
| = | 211 | − | 18 | ( | 26 | − | 6 | x | ) | + | ( | 38 | − | 12 | x | ) | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
方程化为:
| | 211 | − | 18 | ( | 26 | − | 6 | x | ) | + | ( | 38 | − | 12 | x | ) | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) | = | 0 |
去掉方程左边的括号:
| 方程左边 = | 211 | − | 18 | × | 26 | + | 18 | × | 6 | x | + | ( | 38 | − | 12 | x | ) | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | 211 | − | 468 | + | 108 | x | + | ( | 38 | − | 12 | x | ) | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 257 | + | 108 | x | + | ( | 38 | − | 12 | x | ) | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 257 | + | 108 | x | + | 38 | ( | - | 12 | ) | − | 12 | x | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 257 | + | 108 | x | − | 38 | × | 12 | − | 12 | x | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 257 | + | 108 | x | − | 456 | − | 12 | x | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 713 | + | 108 | x | − | 12 | x | ( | - | 12 | ) | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 713 | + | 108 | x | + | 12 | x | × | 12 | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 713 | + | 108 | x | + | 144 | x | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 713 | + | 252 | x | + | 6 | ( | 38 | − | 12 | x | ) | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 713 | + | 252 | x | + | 6 | × | 38 | − | 6 | × | 12 | x | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 713 | + | 252 | x | + | 228 | − | 72 | x | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 485 | + | 180 | x | + | 12 | ( | 26 | − | 6 | x | ) |
| = | - | 485 | + | 180 | x | + | 12 | × | 26 | − | 12 | × | 6 | x |
| = | - | 485 | + | 180 | x | + | 312 | − | 72 | x |
方程化为:
移项:即,把含有未知数的项移到方程左边,把只含有常数的项移到方程的右边。
注意,移项时,该项前面的正负号要改变,即,正号变为负号,而负号要改变为正号。这与方程两边同时加上或者减去该项是等价的。
合并方程右边的各项:
把未知数的系数化为 1:
得:
把结果化为小数形式:
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