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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 0.33 = (x-38.3)/(103.8-x) .
Question type: Equation
Solution:Original question:
33 100 | = | ( | x | − | 383 10 | ) | ÷ | ( | 519 5 | − | x | ) |
| Multiply both sides of the equation by: | ( | 519 5 | − | x | ) |
33 100 | ( | 519 5 | − | x | ) | = | ( | x | − | 383 10 | ) |
33 100 | × | 519 5 | − | 33 100 | x | = | ( | x | − | 383 10 | ) |
33 100 | × | 519 5 | − | 33 100 | x | = | x | − | 383 10 |
17127 500 | − | 33 100 | x | = | x | − | 383 10 |
Transposition :
| - | 33 100 | x | − | x | = | - | 383 10 | − | 17127 500 |
Combine the items on the left of the equation:
| - | 133 100 | x | = | - | 383 10 | − | 17127 500 |
Combine the items on the right of the equation:
| - | 133 100 | x | = | - | 36277 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
36277 500 | = | 133 100 | 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 :
133 100 | x | = | 36277 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 36277 500 | ÷ | 133 100 |
| = | 36277 500 | × | 100 133 |
| = | 36277 5 | × | 1 133 |
We obtained :
| x | = | 36277 665 |
Convert the result to decimal form :
| x | = | 54.55188 |