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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 = 9856.65 .
Question type: Equation
Solution:Original question:
| X | − | ( | X | − | 5000 | ) | × | 3 100 | = | 197133 20 |
| 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 | = | 197133 20 |
Transposition :
97 100 | X | = | 197133 20 | − | 150 |
Combine the items on the right of the equation:
97 100 | X | = | 194133 20 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 194133 20 | ÷ | 97 100 |
| = | 194133 20 | × | 100 97 |
| = | 194133 | × | 5 97 |
We obtained :
| X | = | 970665 97 |
Convert the result to decimal form :
| X | = | 10006.85567 |