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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 (-24.7782/(x-2)) = (-3.1806/(10-x)) .
Question type: Equation
Solution:Original question:
| ( | - | 123891 5000 | ÷ | ( | x | − | 2 | ) | ) | = | ( | - | 15903 5000 | ÷ | ( | 10 | − | x | ) | ) |
| - | 123891 5000 | ÷ | ( | x | − | 2 | ) | = | ( | - | 15903 5000 | ÷ | ( | 10 | − | x | ) | ) |
| - | 123891 5000 | ÷ | ( | x | − | 2 | ) | = | - | 15903 5000 | ÷ | ( | 10 | − | x | ) |
| Multiply both sides of the equation by: | ( | x | − | 2 | ) | , | ( | 10 | − | x | ) |
| - | 123891 5000 | ( | 10 | − | x | ) | = | - | 15903 5000 | ( | x | − | 2 | ) |
| - | 123891 5000 | × | 10 | + | 123891 5000 | x | = | - | 15903 5000 | ( | x | − | 2 | ) |
| - | 123891 5000 | × | 10 | + | 123891 5000 | x | = | - | 15903 5000 | x | + | 15903 5000 | × | 2 |
| - | 123891 500 | + | 123891 5000 | x | = | - | 15903 5000 | x | + | 15903 2500 |
Transposition :
123891 5000 | x | + | 15903 5000 | x | = | 15903 2500 | + | 123891 500 |
Combine the items on the left of the equation:
69897 2500 | x | = | 15903 2500 | + | 123891 500 |
Combine the items on the right of the equation:
69897 2500 | x | = | 317679 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 317679 1250 | ÷ | 69897 2500 |
| = | 317679 1250 | × | 2500 69897 |
| = | 105893 | × | 2 23299 |
We obtained :
| x | = | 211786 23299 |
Convert the result to decimal form :
| x | = | 9.089918 |