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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/（0.1-x） = 1.7378 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | 1 10 | − | x | ) | = | 8689 5000 |
| Multiply both sides of the equation by: | ( | 1 10 | − | x | ) |
| x | = | 8689 5000 | ( | 1 10 | − | x | ) |
| x | = | 8689 5000 | × | 1 10 | − | 8689 5000 | x |
| x | = | 8689 50000 | − | 8689 5000 | x |
Transposition :
| x | + | 8689 5000 | x | = | 8689 50000 |
Combine the items on the left of the equation:
13689 5000 | x | = | 8689 50000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8689 50000 | ÷ | 13689 5000 |
| = | 8689 50000 | × | 5000 13689 |
| = | 8689 10 | × | 1 13689 |
We obtained :
| x | = | 8689 136890 |
Convert the result to decimal form :
| x | = | 0.063474 |