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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 97.78%(1-X)+40.78%X = 48.62% .
Question type: Equation
Solution:Original question:
4889 5000 | ( | 1 | − | X | ) | + | 2039 5000 | X | = | 2431 5000 |
| Left side of the equation = | 4889 5000 | × | 1 | − | 4889 5000 | X | + | 2039 5000 | X |
| = | 4889 5000 | − | 4889 5000 | X | + | 2039 5000 | X |
| = | 4889 5000 | − | 57 100 | X |
4889 5000 | − | 57 100 | X | = | 2431 5000 |
Transposition :
| - | 57 100 | X | = | 2431 5000 | − | 4889 5000 |
Combine the items on the right of the equation:
| - | 57 100 | X | = | - | 1229 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1229 2500 | = | 57 100 | 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 :
57 100 | X | = | 1229 2500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1229 2500 | ÷ | 57 100 |
| = | 1229 2500 | × | 100 57 |
| = | 1229 25 | × | 1 57 |
We obtained :
| X | = | 1229 1425 |
Convert the result to decimal form :
| X | = | 0.862456 |