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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 (13-x)/(13％-14％) = 2.048/-5.054 .
Question type: Equation
Solution:Original question:
| ( | 13 | − | x | ) | ÷ | ( | 13 100 | − | 14 100 | ) | = | 256 125 | − | 2527 500 |
| Multiply both sides of the equation by: | ( | 13 100 | − | 14 100 | ) |
| ( | 13 | − | x | ) | = | 256 125 | ( | 13 100 | − | 14 100 | ) | − | 2527 500 | ( | 13 100 | − | 14 100 | ) |
| 13 | − | x | = | 256 125 | ( | 13 100 | − | 14 100 | ) | − | 2527 500 | ( | 13 100 | − | 14 100 | ) |
| 13 | − | x | = | 256 125 | × | 13 100 | − | 256 125 | × | 14 100 | − | 2527 500 | ( | 13 100 | − | 14 100 | ) |
| 13 | − | x | = | 832 3125 | − | 896 3125 | − | 2527 500 | ( | 13 100 | − | 14 100 | ) |
| 13 | − | x | = | - | 64 3125 | − | 2527 500 | ( | 13 100 | − | 14 100 | ) |
| 13 | − | x | = | - | 64 3125 | − | 2527 500 | × | 13 100 | + | 2527 500 | × | 14 100 |
| 13 | − | x | = | - | 64 3125 | − | 32851 50000 | + | 17689 25000 |
| 13 | − | x | = | 1503 50000 |
Transposition :
| - | x | = | 1503 50000 | − | 13 |
Combine the items on the right of the equation:
| - | x | = | - | 648497 50000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
648497 50000 | = | 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 | = | 648497 50000 |
This is the solution of the equation.