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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 （12827*0.0398+X）/（12827-X) = 0.1 .
Question type: Equation
Solution:Original question:
| ( | 12827 | × | 199 5000 | + | X | ) | ÷ | ( | 12827 | − | X | ) | = | 1 10 |
| Multiply both sides of the equation by: | ( | 12827 | − | X | ) |
| ( | 12827 | × | 199 5000 | + | X | ) | = | 1 10 | ( | 12827 | − | X | ) |
| 12827 | × | 199 5000 | + | X | = | 1 10 | ( | 12827 | − | X | ) |
| 12827 | × | 199 5000 | + | X | = | 1 10 | × | 12827 | − | 1 10 | X |
2552573 5000 | + | X | = | 12827 10 | − | 1 10 | X |
Transposition :
| X | + | 1 10 | X | = | 12827 10 | − | 2552573 5000 |
Combine the items on the left of the equation:
11 10 | X | = | 12827 10 | − | 2552573 5000 |
Combine the items on the right of the equation:
11 10 | X | = | 3860927 5000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3860927 5000 | ÷ | 11 10 |
| = | 3860927 5000 | × | 10 11 |
| = | 3860927 500 | × | 1 11 |
We obtained :
| X | = | 3860927 5500 |
Convert the result to decimal form :
| X | = | 701.986727 |