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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/111-(100-X)/1000 = 0.00273 .
Question type: Equation
Solution:Original question:
| X | ÷ | 111 | − | ( | 100 | − | X | ) | ÷ | 1000 | = | 273 100000 |
| Left side of the equation = | 1 111 | X | − | 100 | × | 1 1000 | + | X | × | 1 1000 |
| = | 1 111 | X | − | 1 10 | + | X | × | 1 1000 |
| = | 1111 111000 | X | − | 1 10 |
1111 111000 | X | − | 1 10 | = | 273 100000 |
Transposition :
1111 111000 | X | = | 273 100000 | + | 1 10 |
Combine the items on the right of the equation:
1111 111000 | X | = | 10273 100000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 10273 100000 | ÷ | 1111 111000 |
| = | 10273 100000 | × | 111000 1111 |
| = | 10273 100 | × | 111 1111 |
We obtained :
| X | = | 1140303 111100 |
Convert the result to decimal form :
| X | = | 10.263753 |