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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 （57.84-X）/X = 0.1812 .
Question type: Equation
Solution:Original question:
| ( | 1446 25 | − | X | ) | ÷ | X | = | 453 2500 |
| Multiply both sides of the equation by: | X |
| ( | 1446 25 | − | X | ) | = | 453 2500 | X |
1446 25 | − | X | = | 453 2500 | X |
Transposition :
| - | X | − | 453 2500 | X | = | - | 1446 25 |
Combine the items on the left of the equation:
| - | 2953 2500 | X | = | - | 1446 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1446 25 | = | 2953 2500 | 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 :
2953 2500 | X | = | 1446 25 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1446 25 | ÷ | 2953 2500 |
| = | 1446 25 | × | 2500 2953 |
| = | 1446 | × | 100 2953 |
We obtained :
| X | = | 144600 2953 |
Convert the result to decimal form :
| X | = | 48.967152 |