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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 (2406-x)/(1629-x) = (4389+2228)/2228 .
Question type: Equation
Solution:Original question:
| ( | 2406 | − | x | ) | ÷ | ( | 1629 | − | x | ) | = | ( | 4389 | + | 2228 | ) | ÷ | 2228 |
| Multiply both sides of the equation by: | ( | 1629 | − | x | ) |
| ( | 2406 | − | x | ) | = | ( | 4389 | + | 2228 | ) | ÷ | 2228 | × | ( | 1629 | − | x | ) |
| 2406 | − | x | = | ( | 4389 | + | 2228 | ) | ÷ | 2228 | × | ( | 1629 | − | x | ) |
| 2406 | − | x | = | 4389 | ÷ | 2228 | × | ( | 1629 | − | x | ) | + | 2228 | ÷ | 2228 | × | ( | 1629 | − | x | ) |
| 2406 | − | x | = | 4389 2228 | ( | 1629 | − | x | ) | + | 1 | ( | 1629 | − | x | ) |
| 2406 | − | x | = | 4389 2228 | × | 1629 | − | 4389 2228 | x | + | 1 | ( | 1629 | − | x | ) |
| 2406 | − | x | = | 7149681 2228 | − | 4389 2228 | x | + | 1 | ( | 1629 | − | x | ) |
| 2406 | − | x | = | 7149681 2228 | − | 4389 2228 | x | + | 1 | × | 1629 | − | 1 | x |
| 2406 | − | x | = | 7149681 2228 | − | 4389 2228 | x | + | 1629 | − | 1 | x |
| 2406 | − | x | = | 10779093 2228 | − | 6617 2228 | x |
Transposition :
| - | x | + | 6617 2228 | x | = | 10779093 2228 | − | 2406 |
Combine the items on the left of the equation:
4389 2228 | x | = | 10779093 2228 | − | 2406 |
Combine the items on the right of the equation:
4389 2228 | x | = | 5418525 2228 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5418525 2228 | ÷ | 4389 2228 |
| = | 5418525 2228 | × | 2228 4389 |
| = | 258025 557 | × | 557 209 |
We obtained :
| x | = | 143719925 116413 |
Convert the result to decimal form :
| x | = | 1234.569378 |