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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 (486055-x)/(1469329-x) = 0.3215 .
Question type: Equation
Solution:Original question:
| ( | 486055 | − | x | ) | ÷ | ( | 1469329 | − | x | ) | = | 643 2000 |
| Multiply both sides of the equation by: | ( | 1469329 | − | x | ) |
| ( | 486055 | − | x | ) | = | 643 2000 | ( | 1469329 | − | x | ) |
| 486055 | − | x | = | 643 2000 | ( | 1469329 | − | x | ) |
| 486055 | − | x | = | 643 2000 | × | 1469329 | − | 643 2000 | x |
| 486055 | − | x | = | 944778547 2000 | − | 643 2000 | x |
Transposition :
| - | x | + | 643 2000 | x | = | 944778547 2000 | − | 486055 |
Combine the items on the left of the equation:
| - | 1357 2000 | x | = | 944778547 2000 | − | 486055 |
Combine the items on the right of the equation:
| - | 1357 2000 | x | = | - | 27331453 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
27331453 2000 | = | 1357 2000 | 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 :
1357 2000 | x | = | 27331453 2000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 27331453 2000 | ÷ | 1357 2000 |
| = | 27331453 2000 | × | 2000 1357 |
| = | 27331453 | × | 1 1357 |
We obtained :
| x | = | 27331453 1357 |
Convert the result to decimal form :
| x | = | 20141.085483 |