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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 {（504*4.83）+5*X}/（504+X） = 4.85 .
Question type: Equation
Solution:Original question:
| ( | ( | 504 | × | 483 100 | ) | + | 5 | X | ) | ÷ | ( | 504 | + | X | ) | = | 97 20 |
| Multiply both sides of the equation by: | ( | 504 | + | X | ) |
| ( | ( | 504 | × | 483 100 | ) | + | 5 | X | ) | = | 97 20 | ( | 504 | + | X | ) |
| ( | 504 | × | 483 100 | ) | + | 5 | X | = | 97 20 | ( | 504 | + | X | ) |
| ( | 504 | × | 483 100 | ) | + | 5 | X | = | 97 20 | × | 504 | + | 97 20 | X |
| ( | 504 | × | 483 100 | ) | + | 5 | X | = | 12222 5 | + | 97 20 | X |
| 504 | × | 483 100 | + | 5 | X | = | 12222 5 | + | 97 20 | X |
60858 25 | + | 5 | X | = | 12222 5 | + | 97 20 | X |
Transposition :
| 5 | X | − | 97 20 | X | = | 12222 5 | − | 60858 25 |
Combine the items on the left of the equation:
3 20 | X | = | 12222 5 | − | 60858 25 |
Combine the items on the right of the equation:
3 20 | X | = | 252 25 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 252 25 | ÷ | 3 20 |
| = | 252 25 | × | 20 3 |
| = | 84 5 | × | 4 |
We obtained :
| X | = | 336 5 |
Convert the result to decimal form :
| X | = | 67.2 |