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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 559750-X = (31683.96-X/1.01*0.01)*1.12 .
Question type: Equation
Solution:Original question:
| 559750 | − | X | = | ( | 792099 25 | − | X | ÷ | 101 100 | × | 1 100 | ) | × | 28 25 |
| Right side of the equation = | 792099 25 | × | 28 25 | − | X | ÷ | 101 100 | × | 1 100 | × | 28 25 |
| = | 22178772 625 | − | X | × | 28 2525 |
| 559750 | − | X | = | 22178772 625 | − | 28 2525 | X |
Transposition :
| - | X | + | 28 2525 | X | = | 22178772 625 | − | 559750 |
Combine the items on the left of the equation:
| - | 2497 2525 | X | = | 22178772 625 | − | 559750 |
Combine the items on the right of the equation:
| - | 2497 2525 | X | = | - | 327664978 625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
327664978 625 | = | 2497 2525 | 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 :
2497 2525 | X | = | 327664978 625 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 327664978 625 | ÷ | 2497 2525 |
| = | 327664978 625 | × | 2525 2497 |
| = | 327664978 25 | × | 101 2497 |
We obtained :
| X | = | 33094162778 62425 |