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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-（X-5000）*0.03 = 6851.54 .
Question type: Equation
Solution:Original question:
| X | − | ( | X | − | 5000 | ) | × | 3 100 | = | 342577 50 |
| Left side of the equation = | X | − | X | × | 3 100 | + | 5000 | × | 3 100 |
| = | X | − | X | × | 3 100 | + | 150 |
| = | 97 100 | X | + | 150 |
97 100 | X | + | 150 | = | 342577 50 |
Transposition :
97 100 | X | = | 342577 50 | − | 150 |
Combine the items on the right of the equation:
97 100 | X | = | 335077 50 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 335077 50 | ÷ | 97 100 |
| = | 335077 50 | × | 100 97 |
| = | 335077 | × | 2 97 |
We obtained :
| X | = | 670154 97 |
Convert the result to decimal form :
| X | = | 6908.804124 |