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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 （360-X）/(396-X) = 0.4939 .
Question type: Equation
Solution:Original question:
| ( | 360 | − | X | ) | ÷ | ( | 396 | − | X | ) | = | 4939 10000 |
| Multiply both sides of the equation by: | ( | 396 | − | X | ) |
| ( | 360 | − | X | ) | = | 4939 10000 | ( | 396 | − | X | ) |
| 360 | − | X | = | 4939 10000 | ( | 396 | − | X | ) |
| 360 | − | X | = | 4939 10000 | × | 396 | − | 4939 10000 | X |
| 360 | − | X | = | 488961 2500 | − | 4939 10000 | X |
Transposition :
| - | X | + | 4939 10000 | X | = | 488961 2500 | − | 360 |
Combine the items on the left of the equation:
| - | 5061 10000 | X | = | 488961 2500 | − | 360 |
Combine the items on the right of the equation:
| - | 5061 10000 | X | = | - | 411039 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
411039 2500 | = | 5061 10000 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
5061 10000 | X | = | 411039 2500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 411039 2500 | ÷ | 5061 10000 |
| = | 411039 2500 | × | 10000 5061 |
| = | 137013 | × | 4 1687 |
We obtained :
| X | = | 548052 1687 |
Convert the result to decimal form :
| X | = | 324.867813 |