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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 (656599.3+1.12X)/1.13-75409.98 = X .
Question type: Equation
Solution:Original question:
| ( | 6565993 10 | + | 28 25 | X | ) | ÷ | 113 100 | − | 3770499 50 | = | X |
| Left side of the equation = | 6565993 10 | × | 100 113 | + | 28 25 | X | × | 100 113 | − | 3770499 50 |
| = | 65659930 113 | + | 112 113 | X | − | 3770499 50 |
| = | 2856930113 5650 | + | 112 113 | X |
2856930113 5650 | + | 112 113 | X | = | X |
Transposition :
112 113 | X | − | X | = | - | 2856930113 5650 |
Combine the items on the left of the equation:
| - | 1 113 | X | = | - | 2856930113 5650 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2856930113 5650 | = | 1 113 | 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 :
1 113 | X | = | 2856930113 5650 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2856930113 5650 | ÷ | 1 113 |
| = | 2856930113 5650 | × | 113 |
We obtained :
| X | = | 322833102769 5650 |