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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 （11.61-X)/X = 0.0758 .
Question type: Equation
Solution:Original question:
| ( | 1161 100 | − | X | ) | ÷ | X | = | 379 5000 |
| Multiply both sides of the equation by: | X |
| ( | 1161 100 | − | X | ) | = | 379 5000 | X |
1161 100 | − | X | = | 379 5000 | X |
Transposition :
| - | X | − | 379 5000 | X | = | - | 1161 100 |
Combine the items on the left of the equation:
| - | 5379 5000 | X | = | - | 1161 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1161 100 | = | 5379 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 :
5379 5000 | X | = | 1161 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1161 100 | ÷ | 5379 5000 |
| = | 1161 100 | × | 5000 5379 |
| = | 387 | × | 50 1793 |
We obtained :
| X | = | 19350 1793 |
Convert the result to decimal form :
| X | = | 10.791969 |