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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 = 0.273 .
Question type: Equation
Solution:Original question:
| X | ÷ | 111 | − | ( | 100 | − | X | ) | ÷ | 1000 | = | 273 1000 |
| 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 1000 |
Transposition :
1111 111000 | X | = | 273 1000 | + | 1 10 |
Combine the items on the right of the equation:
1111 111000 | X | = | 373 1000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 373 1000 | ÷ | 1111 111000 |
| = | 373 1000 | × | 111000 1111 |
| = | 373 | × | 111 1111 |
We obtained :
| X | = | 41403 1111 |
Convert the result to decimal form :
| X | = | 37.266427 |