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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 （4.202-4）/（x-11.8） = （5-4.202）/(13.7-x) .
Question type: Equation
Solution:Original question:
| ( | 2101 500 | − | 4 | ) | ÷ | ( | x | − | 59 5 | ) | = | ( | 5 | − | 2101 500 | ) | ÷ | ( | 137 10 | − | x | ) |
| Multiply both sides of the equation by: | ( | x | − | 59 5 | ) | , | ( | 137 10 | − | x | ) |
| ( | 2101 500 | − | 4 | ) | ( | 137 10 | − | x | ) | = | ( | 5 | − | 2101 500 | ) | ( | x | − | 59 5 | ) |
2101 500 | ( | 137 10 | − | x | ) | − | 4 | ( | 137 10 | − | x | ) | = | ( | 5 | − | 2101 500 | ) | ( | x | − | 59 5 | ) |
2101 500 | ( | 137 10 | − | x | ) | − | 4 | ( | 137 10 | − | x | ) | = | 5 | ( | x | − | 59 5 | ) | − | 2101 500 | ( | x | − | 59 5 | ) |
2101 500 | × | 137 10 | − | 2101 500 | x | − | 4 | ( | 137 10 | − | x | ) | = | 5 | ( | x | − | 59 5 | ) | − | 2101 500 | ( | x | − | 59 5 | ) |
2101 500 | × | 137 10 | − | 2101 500 | x | − | 4 | ( | 137 10 | − | x | ) | = | 5 | x | − | 5 | × | 59 5 | − | 2101 500 | ( | x | − | 59 5 | ) |
287837 5000 | − | 2101 500 | x | − | 4 | ( | 137 10 | − | x | ) | = | 5 | x | − | 59 | − | 2101 500 | ( | x | − | 59 5 | ) |
287837 5000 | − | 2101 500 | x | − | 4 | × | 137 10 | + | 4 | x | = | 5 | x | − | 59 | − | 2101 500 | ( | x | − | 59 5 | ) |
287837 5000 | − | 2101 500 | x | − | 4 | × | 137 10 | + | 4 | x | = | 5 | x | − | 59 | − | 2101 500 | x | + | 2101 500 | × | 59 5 |
287837 5000 | − | 2101 500 | x | − | 274 5 | + | 4 | x | = | 5 | x | − | 59 | − | 2101 500 | x | + | 123959 2500 |
13837 5000 | − | 101 500 | x | = | 399 500 | x | − | 23541 2500 |
Transposition :
| - | 101 500 | x | − | 399 500 | x | = | - | 23541 2500 | − | 13837 5000 |
| - | x | = | - | 23541 2500 | − | 13837 5000 |
Combine the items on the left of the equation:
| - | x | = | - | 23541 2500 | − | 13837 5000 |
Combine the items on the right of the equation:
| - | x | = | - | 60919 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
60919 5000 | = | 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 | = | 60919 5000 |
This is the solution of the equation.