总述:本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业:求方程 3(16+4t)*4+(18-2t)*(-2)-4(18-2t)+2(16+4t)-2*17*4 = 0 的解.
题型:方程
解:原方程:| | 3 | ( | 16 | + | 4 | t | ) | × | 4 | + | ( | 18 | − | 2 | t | ) | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) | − | 2 | × | 17 | × | 4 | = | 0 |
| 方程左边 = | 12 | ( | 16 | + | 4 | t | ) | + | ( | 18 | − | 2 | t | ) | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) | − | 136 |
方程化为:
| | 12 | ( | 16 | + | 4 | t | ) | + | ( | 18 | − | 2 | t | ) | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) | − | 136 | = | 0 |
去掉方程左边的括号:
| 方程左边 = | 12 | × | 16 | + | 12 | × | 4 | t | + | ( | 18 | − | 2 | t | ) | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) | − | 136 |
| = | 192 | + | 48 | t | + | ( | 18 | − | 2 | t | ) | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) | − | 136 |
| = | 56 | + | 48 | t | + | ( | 18 | − | 2 | t | ) | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 56 | + | 48 | t | + | 18 | ( | - | 2 | ) | − | 2 | t | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 56 | + | 48 | t | − | 18 | × | 2 | − | 2 | t | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 56 | + | 48 | t | − | 36 | − | 2 | t | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 20 | + | 48 | t | − | 2 | t | ( | - | 2 | ) | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 20 | + | 48 | t | + | 2 | t | × | 2 | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 20 | + | 48 | t | + | 4 | t | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 20 | + | 52 | t | − | 4 | ( | 18 | − | 2 | t | ) | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 20 | + | 52 | t | − | 4 | × | 18 | + | 4 | × | 2 | t | + | 2 | ( | 16 | + | 4 | t | ) |
| = | 20 | + | 52 | t | − | 72 | + | 8 | t | + | 2 | ( | 16 | + | 4 | t | ) |
| = | - | 52 | + | 60 | t | + | 2 | ( | 16 | + | 4 | t | ) |
| = | - | 52 | + | 60 | t | + | 2 | × | 16 | + | 2 | × | 4 | t |
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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