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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 (X-1059.2-5000)*0.03 = X-6851.54-1059.2 .
Question type: Equation
Solution:Original question:
| ( | X | − | 5296 5 | − | 5000 | ) | × | 3 100 | = | X | − | 342577 50 | − | 5296 5 |
| Left side of the equation = | X | × | 3 100 | − | 5296 5 | × | 3 100 | − | 5000 | × | 3 100 |
| = | X | × | 3 100 | − | 3972 125 | − | 150 |
| = | 3 100 | X | − | 22722 125 |
3 100 | X | − | 22722 125 | = | X | − | 342577 50 | − | 5296 5 |
| Right side of the equation = | X | − | 395537 50 |
3 100 | X | − | 22722 125 | = | X | − | 395537 50 |
Transposition :
3 100 | X | − | X | = | - | 395537 50 | + | 22722 125 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 395537 50 | + | 22722 125 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 1932241 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1932241 250 | = | 97 100 | 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 :
97 100 | X | = | 1932241 250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1932241 250 | ÷ | 97 100 |
| = | 1932241 250 | × | 100 97 |
| = | 1932241 5 | × | 2 97 |
We obtained :
| X | = | 3864482 485 |
Convert the result to decimal form :
| X | = | 7968.004124 |