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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 （360-x）/（360*1.1-x） = 610/1235 .
Question type: Equation
Solution:Original question:
| ( | 360 | − | x | ) | ÷ | ( | 360 | × | 11 10 | − | x | ) | = | 610 | ÷ | 1235 |
| Multiply both sides of the equation by: | ( | 360 | × | 11 10 | − | x | ) |
| ( | 360 | − | x | ) | = | 610 | ÷ | 1235 | × | ( | 360 | × | 11 10 | − | x | ) |
| 360 | − | x | = | 610 | ÷ | 1235 | × | ( | 360 | × | 11 10 | − | x | ) |
| 360 | − | x | = | 610 | ÷ | 1235 | × | 360 | × | 11 10 | − | 610 | ÷ | 1235 | × | x |
| 360 | − | x | = | 48312 247 | − | 122 247 | x |
Transposition :
| - | x | + | 122 247 | x | = | 48312 247 | − | 360 |
Combine the items on the left of the equation:
| - | 125 247 | x | = | 48312 247 | − | 360 |
Combine the items on the right of the equation:
| - | 125 247 | x | = | - | 40608 247 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
40608 247 | = | 125 247 | 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 :
125 247 | x | = | 40608 247 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 40608 247 | ÷ | 125 247 |
| = | 40608 247 | × | 247 125 |
| = | 40608 | × | 1 125 |
We obtained :
| x | = | 40608 125 |
Convert the result to decimal form :
| x | = | 324.864 |