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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 100*(2049.176-X) = (16186.324-X/0.13)*9 .
Question type: Equation
Solution:Original question:
| 100 | ( | 256147 125 | − | X | ) | = | ( | 4046581 250 | − | X | ÷ | 13 100 | ) | × | 9 |
| Left side of the equation = | 100 | × | 256147 125 | − | 100 | X |
| = | 1024588 5 | − | 100 | X |
1024588 5 | − | 100 | X | = | ( | 4046581 250 | − | X | ÷ | 13 100 | ) | × | 9 |
| Right side of the equation = | 4046581 250 | × | 9 | − | X | ÷ | 13 100 | × | 9 |
| = | 36419229 250 | − | X | × | 900 13 |
1024588 5 | − | 100 | X | = | 36419229 250 | − | 900 13 | X |
Transposition :
| - | 100 | X | + | 900 13 | X | = | 36419229 250 | − | 1024588 5 |
Combine the items on the left of the equation:
| - | 400 13 | X | = | 36419229 250 | − | 1024588 5 |
Combine the items on the right of the equation:
| - | 400 13 | X | = | - | 14810171 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
14810171 250 | = | 400 13 | 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 :
400 13 | X | = | 14810171 250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 14810171 250 | ÷ | 400 13 |
| = | 14810171 250 | × | 13 400 |
We obtained :
| X | = | 192532223 100000 |
Convert the result to decimal form :
| X | = | 1925.32223 |