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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 ((71.46+18.47)/2-X)/(71.46-18.47) = 0.45 .
Question type: Equation
Solution:Original question:
| ( | ( | 3573 50 | + | 1847 100 | ) | ÷ | 2 | − | X | ) | ÷ | ( | 3573 50 | − | 1847 100 | ) | = | 9 20 |
| Multiply both sides of the equation by: | ( | 3573 50 | − | 1847 100 | ) |
| ( | ( | 3573 50 | + | 1847 100 | ) | ÷ | 2 | − | X | ) | = | 9 20 | ( | 3573 50 | − | 1847 100 | ) |
| ( | 3573 50 | + | 1847 100 | ) | ÷ | 2 | − | X | = | 9 20 | ( | 3573 50 | − | 1847 100 | ) |
| ( | 3573 50 | + | 1847 100 | ) | ÷ | 2 | − | X | = | 9 20 | × | 3573 50 | − | 9 20 | × | 1847 100 |
| ( | 3573 50 | + | 1847 100 | ) | × | 1 2 | − | X | = | 32157 1000 | − | 16623 2000 |
| ( | 3573 50 | + | 1847 100 | ) | × | 1 2 | − | X | = | 47691 2000 |
3573 50 | × | 1 2 | + | 1847 100 | × | 1 2 | − | X | = | 47691 2000 |
3573 100 | + | 1847 200 | − | X | = | 47691 2000 |
8993 200 | − | X | = | 47691 2000 |
Transposition :
| - | X | = | 47691 2000 | − | 8993 200 |
Combine the items on the right of the equation:
| - | X | = | - | 42239 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
42239 2000 | = | 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 | = | 42239 2000 |
This is the solution of the equation.