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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 8213-(X/1.06*0.06-X/1.01*0.03) = X .
Question type: Equation
Solution:Original question:
| 8213 | − | ( | X | ÷ | 53 50 | × | 3 50 | − | X | ÷ | 101 100 | × | 3 100 | ) | = | X |
| Left side of the equation = | 8213 | − | X | ÷ | 53 50 | × | 3 50 | + | X | ÷ | 101 100 | × | 3 100 |
| = | 8213 | − | X | × | 3 53 | + | X | × | 3 101 |
| = | 8213 | − | 144 5353 | X |
| 8213 | − | 144 5353 | X | = | X |
Transposition :
| - | 144 5353 | X | − | X | = | - | 8213 |
Combine the items on the left of the equation:
| - | 5497 5353 | X | = | - | 8213 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 8213 | = | 5497 5353 | 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 :
5497 5353 | X | = | 8213 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 8213 | ÷ | 5497 5353 |
| = | 8213 | × | 5353 5497 |
We obtained :
| X | = | 43964189 5497 |
Convert the result to decimal form :
| X | = | 7997.851373 |