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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 ((x+29800)/2982189-x)/x = 0.16 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the left of the equation:
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left 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 ((x+29800)/2982189-x)/x = 0.16 .
Question type: Equation
Solution:Original question:
| ( | ( | x | + | 29800 | ) | ÷ | 2982189 | − | x | ) | ÷ | x | = | 4 25 |
| Multiply both sides of the equation by: | x |
| ( | ( | x | + | 29800 | ) | ÷ | 2982189 | − | x | ) | = | 4 25 | x |
| ( | x | + | 29800 | ) | ÷ | 2982189 | − | x | = | 4 25 | x |
| x | × | 1 2982189 | + | 29800 | × | 1 2982189 | − | x | = | 4 25 | x |
| x | × | 1 2982189 | + | 29800 2982189 | − | x | = | 4 25 | x |
| - | 2982188 2982189 | x | + | 29800 2982189 | = | 4 25 | x |
Transposition :
| - | 2982188 2982189 | x | − | 4 25 | x | = | - | 29800 2982189 |
Combine the items on the left of the equation:
| - | 86483456 74554725 | x | = | - | 29800 2982189 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
29800 2982189 | = | 86483456 74554725 | 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 :
86483456 74554725 | x | = | 29800 2982189 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 29800 2982189 | ÷ | 86483456 74554725 |
| = | 29800 2982189 | × | 74554725 86483456 |
| = | 3725 20287 | × | 507175 10810432 |
We obtained :
| x | = | 1889226875 219311233984 |