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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 0.4939 = x/(x+0.1) .
Question type: Equation
Solution:Original question:
4939 10000 | = | x | ÷ | ( | x | + | 1 10 | ) |
| Multiply both sides of the equation by: | ( | x | + | 1 10 | ) |
4939 10000 | ( | x | + | 1 10 | ) | = | x |
4939 10000 | x | + | 4939 10000 | × | 1 10 | = | x |
4939 10000 | x | + | 4939 100000 | = | x |
Transposition :
4939 10000 | x | − | x | = | - | 4939 100000 |
Combine the items on the left of the equation:
| - | 5061 10000 | x | = | - | 4939 100000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4939 100000 | = | 5061 10000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
5061 10000 | x | = | 4939 100000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4939 100000 | ÷ | 5061 10000 |
| = | 4939 100000 | × | 10000 5061 |
| = | 4939 10 | × | 1 5061 |
We obtained :
| x | = | 4939 50610 |
Convert the result to decimal form :
| x | = | 0.097589 |