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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 (486.54-x)/x = 0.2321 .
Question type: Equation
Solution:Original question:
| ( | 24327 50 | − | x | ) | ÷ | x | = | 2321 10000 |
| Multiply both sides of the equation by: | x |
| ( | 24327 50 | − | x | ) | = | 2321 10000 | x |
24327 50 | − | x | = | 2321 10000 | x |
Transposition :
| - | x | − | 2321 10000 | x | = | - | 24327 50 |
Combine the items on the left of the equation:
| - | 12321 10000 | x | = | - | 24327 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
24327 50 | = | 12321 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 :
12321 10000 | x | = | 24327 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 24327 50 | ÷ | 12321 10000 |
| = | 24327 50 | × | 10000 12321 |
| = | 2703 | × | 200 1369 |
We obtained :
| x | = | 540600 1369 |
Convert the result to decimal form :
| x | = | 394.886779 |