Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (1-x)（1-x）+[2/(1-x)][2/(1-x)] = [x-2/(1-x)][x-2/(1-x)] .
Question type: Equation
Solution:Original question:| | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | = | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
Remove a bracket on the left of the equation:：
| | 1 | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | = | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
Remove a bracket on the right of the equation:：
| | 1 | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | = | x | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | − | 2 | ÷ | ( | 1 | − | x | ) | × | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
| | 1 | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | = | x | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
Remove a bracket on the left of the equation:
| | 1 | × | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | = | x | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
Remove a bracket on the right of the equation:：
| | 1 | × | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | = | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ÷ | ( | 1 | − | x | ) | × | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
The equation is reduced to :
| | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | = | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ÷ | ( | 1 | − | x | ) | × | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
| | 1 | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | = | x | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) |
Remove a bracket on the left of the equation:
| | 1 | × | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | = | x | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) |
Remove a bracket on the right of the equation:：
| | 1 | × | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | = | x | x | × | 1 | ( | 1 | − | x | ) | − | x | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 |
The equation is reduced to :
| | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | = | x | x | × | 1 | ( | 1 | − | x | ) | − | x | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 |
Remove a bracket on the left of the equation:
| | 1 | × | 1 | − | 1 | x | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | = | x | x | × | 1 | ( | 1 | − | x | ) | − | x | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 |
Remove a bracket on the right of the equation:：
| | 1 | × | 1 | − | 1 | x | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | = | x | x | × | 1 | × | 1 | − | x | x | × | 1 | x | − | x | x | x | ( | 1 | − | x | ) |
The equation is reduced to :
| | 1 | − | 1 | x | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | ( | 1 | − | x | ) | − | x |
Remove a bracket on the left of the equation:
| | 1 | − | 1 | x | − | 1 | x | × | 1 | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | ( | 1 | − | x | ) | − | x |
Remove a bracket on the right of the equation:：
| | 1 | − | 1 | x | − | 1 | x | × | 1 | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
The equation is reduced to :
| | 1 | − | 1 | x | − | 1 | x | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
The equation is reduced to :
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
Remove a bracket on the left of the equation:
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | × | 1 | ( | 1 | − | x | ) | + | 1 | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
Remove a bracket on the right of the equation:：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | × | 1 | ( | 1 | − | x | ) | + | 1 | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
The equation is reduced to :
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | + | 1 | x | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
Remove a bracket on the left of the equation:
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | × | 1 | + | 1 | x | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
Remove a bracket on the right of the equation:：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | × | 1 | + | 1 | x | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
The equation is reduced to :
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | + | 1 | x | x | + | 1 | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
There are 0 solution(s).
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