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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 100/(100-X) = 1.0417 .
Question type: Equation
Solution:Original question:
| 100 | ÷ | ( | 100 | − | X | ) | = | 10417 10000 |
| Multiply both sides of the equation by: | ( | 100 | − | X | ) |
| 100 | = | 10417 10000 | ( | 100 | − | X | ) |
| 100 | = | 10417 10000 | × | 100 | − | 10417 10000 | X |
| 100 | = | 10417 100 | − | 10417 10000 | X |
Transposition :
10417 10000 | X | = | 10417 100 | − | 100 |
Combine the items on the right of the equation:
10417 10000 | X | = | 417 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 417 100 | ÷ | 10417 10000 |
| = | 417 100 | × | 10000 10417 |
| = | 417 | × | 100 10417 |
We obtained :
| X | = | 41700 10417 |
Convert the result to decimal form :
| X | = | 4.003072 |