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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 （109425.96+1.12X)/1.13*0.13-12456.51 = X .
Question type: Equation
Solution:Original question:
| ( | 2735649 25 | + | 28 25 | X | ) | ÷ | 113 100 | × | 13 100 | − | 1245651 100 | = | X |
| Left side of the equation = | ( | 2735649 25 | + | 28 25 | X | ) | × | 13 113 | − | 1245651 100 |
| ( | 2735649 25 | + | 28 25 | X | ) | × | 13 113 | − | 1245651 100 | = | X |
| Left side of the equation = | 2735649 25 | × | 13 113 | + | 28 25 | X | × | 13 113 | − | 1245651 100 |
| = | 35563437 2825 | + | 364 2825 | X | − | 1245651 100 |
| = | 299037 2260 | + | 364 2825 | X |
299037 2260 | + | 364 2825 | X | = | X |
Transposition :
364 2825 | X | − | X | = | - | 299037 2260 |
Combine the items on the left of the equation:
| - | 2461 2825 | X | = | - | 299037 2260 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
299037 2260 | = | 2461 2825 | 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 :
2461 2825 | X | = | 299037 2260 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 299037 2260 | ÷ | 2461 2825 |
| = | 299037 2260 | × | 2825 2461 |
| = | 299037 452 | × | 565 2461 |
We obtained :
| X | = | 168955905 1112372 |
By reducing fraction, we can get:
| X | = | 1495185 9844 |
Convert the result to decimal form :
| X | = | 151.887952 |