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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 | ÷ | 2527 500 | × | ( | 13 100 | − | 14 100 | ) |
| 13 | − | x | = | 256 125 | ÷ | 2527 500 | × | ( | 13 100 | − | 14 100 | ) |
| 13 | − | x | = | 256 125 | ÷ | 2527 500 | × | 13 100 | − | 256 125 | ÷ | 2527 500 | × | 14 100 |
| 13 | − | x | = | 3328 63175 | − | 512 9025 |
| 13 | − | x | = | - | 256 63175 |
Transposition :
| - | x | = | - | 256 63175 | − | 13 |
Combine the items on the right of the equation:
| - | x | = | - | 821531 63175 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
821531 63175 | = | 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 | = | 821531 63175 |
This is the solution of the equation.