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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/131-(100-X)/1000 = 0.381 .
Question type: Equation
Solution:Original question:
| X | ÷ | 131 | − | ( | 100 | − | X | ) | ÷ | 1000 | = | 381 1000 |
| Left side of the equation = | 1 131 | X | − | 100 | × | 1 1000 | + | X | × | 1 1000 |
| = | 1 131 | X | − | 1 10 | + | X | × | 1 1000 |
| = | 1131 131000 | X | − | 1 10 |
1131 131000 | X | − | 1 10 | = | 381 1000 |
Transposition :
1131 131000 | X | = | 381 1000 | + | 1 10 |
Combine the items on the right of the equation:
1131 131000 | X | = | 481 1000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 481 1000 | ÷ | 1131 131000 |
| = | 481 1000 | × | 131000 1131 |
| = | 37 | × | 131 87 |
We obtained :
| X | = | 4847 87 |
Convert the result to decimal form :
| X | = | 55.712644 |