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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x = (x/(x-0.1935))-3.572*((0.1935/x)/1+(0.1935/x)) .
Question type: Equation
Solution:Original question:
| x | = | ( | x | ÷ | ( | x | − | 387 2000 | ) | ) | − | 893 250 | ( | ( | 387 2000 | ÷ | x | ) | ÷ | 1 | + | ( | 387 2000 | ÷ | x | ) | ) |
| x | = | x | ÷ | ( | x | − | 387 2000 | ) | − | 893 250 | ( | ( | 387 2000 | ÷ | x | ) | ÷ | 1 | + | ( | 387 2000 | ÷ | x | ) | ) |
| Multiply both sides of the equation by: | ( | x | − | 387 2000 | ) |
| x | ( | x | − | 387 2000 | ) | = | x | − | 893 250 | ( | ( | 387 2000 | ÷ | x | ) | ÷ | 1 | + | ( | 387 2000 | ÷ | x | ) | ) | ( | x | − | 387 2000 | ) |
| x | x | − | x | × | 387 2000 | = | x | − | 893 250 | ( | ( | 387 2000 | ÷ | x | ) | ÷ | 1 | + | ( | 387 2000 | ÷ | x | ) | ) | ( | x | − | 387 2000 | ) |
| x | x | − | x | × | 387 2000 | = | x | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ÷ | 1 | × | ( | x | − | 387 2000 | ) | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ( | x | − | 387 2000 | ) |
| x | x | − | x | × | 387 2000 | = | x | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ( | x | − | 387 2000 | ) | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ( | x | − | 387 2000 | ) |
| x | x | − | 387 2000 | x | = | x | − | 893 250 | × | 387 2000 | ÷ | x | × | ( | x | − | 387 2000 | ) | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ( | x | − | 387 2000 | ) |
| x | x | − | 387 2000 | x | = | x | − | 345591 500000 | ÷ | x | × | ( | x | − | 387 2000 | ) | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ( | x | − | 387 2000 | ) |
| Multiply both sides of the equation by: | x |
| x | x | x | − | 387 2000 | x | x | = | x | x | − | 345591 500000 | ( | x | − | 387 2000 | ) | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ( | x | − | 387 2000 | ) | x |
| x | x | x | − | 387 2000 | x | x | = | x | x | − | 345591 500000 | x | + | 345591 500000 | × | 387 2000 | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ( | x | − | 387 2000 | ) | x |
| x | x | x | − | 387 2000 | x | x | = | x | x | − | 345591 500000 | x | + | 133743717 1000000000 | − | 893 250 | ( | 387 2000 | ÷ | x | ) | ( | x | − | 387 2000 | ) | x |
| x | x | x | − | 387 2000 | x | x | = | x | x | − | 345591 500000 | x | + | 133743717 1000000000 | − | 893 250 | × | 387 2000 | ÷ | 1 | × | ( | x | − | 387 2000 | ) | × | 1 |
| x | x | x | − | 387 2000 | x | x | = | x | x | − | 345591 500000 | x | + | 133743717 1000000000 | − | 345591 500000 | ( | x | − | 387 2000 | ) |
| x | x | x | − | 387 2000 | x | x | = | x | x | − | 345591 500000 | x | + | 133743717 1000000000 | − | 345591 500000 | x | + | 345591 500000 | × | 387 2000 |
| x | x | x | − | 387 2000 | x | x | = | x | x | − | 345591 500000 | x | + | 133743717 1000000000 | − | 345591 500000 | x | + | 133743717 1000000000 |
| x | x | x | − | 387 2000 | x | x | = | x | x | − | 345591 250000 | x | + | 133743717 500000000 |
There are 0 solution(s).
解程的详细方法请参阅：《方程的解法》