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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 (54.82-x)/x = 0.1686 .
Question type: Equation
Solution:Original question:
| ( | 2741 50 | − | x | ) | ÷ | x | = | 843 5000 |
| Multiply both sides of the equation by: | x |
| ( | 2741 50 | − | x | ) | = | 843 5000 | x |
2741 50 | − | x | = | 843 5000 | x |
Transposition :
| - | x | − | 843 5000 | x | = | - | 2741 50 |
Combine the items on the left of the equation:
| - | 5843 5000 | x | = | - | 2741 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2741 50 | = | 5843 5000 | 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 :
5843 5000 | x | = | 2741 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2741 50 | ÷ | 5843 5000 |
| = | 2741 50 | × | 5000 5843 |
| = | 2741 | × | 100 5843 |
We obtained :
| x | = | 274100 5843 |
Convert the result to decimal form :
| x | = | 46.910833 |