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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 10451.97/3992.41 = （x-3）/（9-x） .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 10451.97/3992.41 = （x-3）/（9-x） .
Question type: Equation
Solution:Original question:
1045197 100 | ÷ | 399241 100 | = | ( | x | − | 3 | ) | ÷ | ( | 9 | − | x | ) |
| Multiply both sides of the equation by: | ( | 9 | − | x | ) |
1045197 100 | ÷ | 399241 100 | × | ( | 9 | − | x | ) | = | ( | x | − | 3 | ) |
1045197 100 | ÷ | 399241 100 | × | 9 | − | 1045197 100 | ÷ | 399241 100 | × | x | = | ( | x | − | 3 | ) |
1045197 100 | ÷ | 399241 100 | × | 9 | − | 1045197 100 | ÷ | 399241 100 | × | x | = | x | − | 3 |
9406773 399241 | − | 1045197 399241 | x | = | x | − | 3 |
Transposition :
| - | 1045197 399241 | x | − | x | = | - | 3 | − | 9406773 399241 |
Combine the items on the left of the equation:
| - | 1444438 399241 | x | = | - | 3 | − | 9406773 399241 |
Combine the items on the right of the equation:
| - | 1444438 399241 | x | = | - | 10604496 399241 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
10604496 399241 | = | 1444438 399241 | 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 :
1444438 399241 | x | = | 10604496 399241 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 10604496 399241 | ÷ | 1444438 399241 |
| = | 10604496 399241 | × | 399241 1444438 |
| = | 5302248 399241 | × | 399241 722219 |
We obtained :
| x | = | 2116874793768 288339435779 |