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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 25% = X50%+(1-X)*21.76%*50% .
Question type: Equation
Solution:Original question:
25 100 | = | X | × | 50 100 | + | ( | 1 | − | X | ) | × | 544 2500 | × | 50 100 |
| Right side of the equation = | X | × | 50 100 | + | ( | 1 | − | X | ) | × | 68 625 |
25 100 | = | 50 100 | X | + | ( | 1 | − | X | ) | × | 68 625 |
| Right side of the equation = | 50 100 | X | + | 1 | × | 68 625 | − | X | × | 68 625 |
| = | 50 100 | X | + | 68 625 | − | X | × | 68 625 |
| = | 489 1250 | X | + | 68 625 |
25 100 | = | 489 1250 | X | + | 68 625 |
Transposition :
| - | 489 1250 | X | = | 68 625 | − | 25 100 |
Combine the items on the right of the equation:
| - | 489 1250 | X | = | - | 353 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
353 2500 | = | 489 1250 | 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 :
489 1250 | X | = | 353 2500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 353 2500 | ÷ | 489 1250 |
| = | 353 2500 | × | 1250 489 |
| = | 353 2 | × | 1 489 |
We obtained :
| X | = | 353 978 |
Convert the result to decimal form :
| X | = | 0.360941 |