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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 0.55142 = （1-x）/（1+x） .
Question type: Equation
Solution:Original question:
27571 50000 | = | ( | 1 | − | x | ) | ÷ | ( | 1 | + | x | ) |
| Multiply both sides of the equation by: | ( | 1 | + | x | ) |
27571 50000 | ( | 1 | + | x | ) | = | ( | 1 | − | x | ) |
27571 50000 | × | 1 | + | 27571 50000 | x | = | ( | 1 | − | x | ) |
27571 50000 | × | 1 | + | 27571 50000 | x | = | 1 | − | x |
27571 50000 | + | 27571 50000 | x | = | 1 | − | x |
Transposition :
27571 50000 | x | + | x | = | 1 | − | 27571 50000 |
Combine the items on the left of the equation:
77571 50000 | x | = | 1 | − | 27571 50000 |
Combine the items on the right of the equation:
77571 50000 | x | = | 22429 50000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 22429 50000 | ÷ | 77571 50000 |
| = | 22429 50000 | × | 50000 77571 |
| = | 22429 | × | 1 77571 |
We obtained :
| x | = | 22429 77571 |
Convert the result to decimal form :
| x | = | 0.289142 |