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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 ((4.53+17.85)/2-X)/(17.85-4.53) = 0.05 .
Question type: Equation
Solution:Original question:
| ( | ( | 453 100 | + | 357 20 | ) | ÷ | 2 | − | X | ) | ÷ | ( | 357 20 | − | 453 100 | ) | = | 1 20 |
| Multiply both sides of the equation by: | ( | 357 20 | − | 453 100 | ) |
| ( | ( | 453 100 | + | 357 20 | ) | ÷ | 2 | − | X | ) | = | 1 20 | ( | 357 20 | − | 453 100 | ) |
| ( | 453 100 | + | 357 20 | ) | ÷ | 2 | − | X | = | 1 20 | ( | 357 20 | − | 453 100 | ) |
| ( | 453 100 | + | 357 20 | ) | ÷ | 2 | − | X | = | 1 20 | × | 357 20 | − | 1 20 | × | 453 100 |
| ( | 453 100 | + | 357 20 | ) | × | 1 2 | − | X | = | 357 400 | − | 453 2000 |
| ( | 453 100 | + | 357 20 | ) | × | 1 2 | − | X | = | 333 500 |
453 100 | × | 1 2 | + | 357 20 | × | 1 2 | − | X | = | 333 500 |
453 200 | + | 357 40 | − | X | = | 333 500 |
1119 100 | − | X | = | 333 500 |
Transposition :
| - | X | = | 333 500 | − | 1119 100 |
Combine the items on the right of the equation:
| - | X | = | - | 2631 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2631 250 | = | 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 :
| X | = | 2631 250 |
This is the solution of the equation.