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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 5762.53/7560.64 = （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 5762.53/7560.64 = （x-3）/（9-x） .
Question type: Equation
Solution:Original question:
576253 100 | ÷ | 189016 25 | = | ( | x | − | 3 | ) | ÷ | ( | 9 | − | x | ) |
| Multiply both sides of the equation by: | ( | 9 | − | x | ) |
576253 100 | ÷ | 189016 25 | × | ( | 9 | − | x | ) | = | ( | x | − | 3 | ) |
576253 100 | ÷ | 189016 25 | × | 9 | − | 576253 100 | ÷ | 189016 25 | × | x | = | ( | x | − | 3 | ) |
576253 100 | ÷ | 189016 25 | × | 9 | − | 576253 100 | ÷ | 189016 25 | × | x | = | x | − | 3 |
5186277 756064 | − | 576253 756064 | x | = | x | − | 3 |
Transposition :
| - | 576253 756064 | x | − | x | = | - | 3 | − | 5186277 756064 |
Combine the items on the left of the equation:
| - | 1332317 756064 | x | = | - | 3 | − | 5186277 756064 |
Combine the items on the right of the equation:
| - | 1332317 756064 | x | = | - | 7454469 756064 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
7454469 756064 | = | 1332317 756064 | 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 :
1332317 756064 | x | = | 7454469 756064 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7454469 756064 | ÷ | 1332317 756064 |
| = | 7454469 756064 | × | 756064 1332317 |
| = | 7454469 23627 | × | 23627 1332317 |
We obtained :
| x | = | 176126739063 31478653759 |