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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 0.06608 = 0.622*597*x/(760-597*x) .
Question type: Equation
Solution:Original question:
413 6250 | = | 311 500 | × | 597 | x | ÷ | ( | 760 | − | 597 | x | ) |
| Multiply both sides of the equation by: | ( | 760 | − | 597 | x | ) |
413 6250 | ( | 760 | − | 597 | x | ) | = | 311 500 | × | 597 | x |
413 6250 | × | 760 | − | 413 6250 | × | 597 | x | = | 311 500 | × | 597 | x |
31388 625 | − | 246561 6250 | x | = | 185667 500 | x |
Transposition :
| - | 246561 6250 | x | − | 185667 500 | x | = | - | 31388 625 |
Combine the items on the left of the equation:
| - | 5134797 12500 | x | = | - | 31388 625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
31388 625 | = | 5134797 12500 | 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 :
5134797 12500 | x | = | 31388 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 31388 625 | ÷ | 5134797 12500 |
| = | 31388 625 | × | 12500 5134797 |
| = | 31388 | × | 20 5134797 |
We obtained :
| x | = | 627760 5134797 |
Convert the result to decimal form :
| x | = | 0.122256 |