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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-5000-1108.25）*0.03 = X-8939.84-1108.25 .
Question type: Equation
Solution:Original question:
| ( | X | − | 5000 | − | 4433 4 | ) | × | 3 100 | = | X | − | 223496 25 | − | 4433 4 |
| Left side of the equation = | X | × | 3 100 | − | 5000 | × | 3 100 | − | 4433 4 | × | 3 100 |
| = | X | × | 3 100 | − | 150 | − | 13299 400 |
| = | 3 100 | X | − | 73299 400 |
3 100 | X | − | 73299 400 | = | X | − | 223496 25 | − | 4433 4 |
| Right side of the equation = | X | − | 1004809 100 |
3 100 | X | − | 73299 400 | = | X | − | 1004809 100 |
Transposition :
3 100 | X | − | X | = | - | 1004809 100 | + | 73299 400 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 1004809 100 | + | 73299 400 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 3945937 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3945937 400 | = | 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 | = | 3945937 400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3945937 400 | ÷ | 97 100 |
| = | 3945937 400 | × | 100 97 |
| = | 3945937 4 | × | 1 97 |
We obtained :
| X | = | 3945937 388 |
Convert the result to decimal form :
| X | = | 10169.940722 |