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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
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[ 1/1 Equation]
Work: Find the solution of equation （25X-92.12）×（1÷1.13）×25 = 188×（1÷1.13） .
Question type: Equation
Solution:Original question:
| ( | 25 | X | − | 2303 25 | ) | ( | 1 | ÷ | 113 100 | ) | × | 25 | = | 188 | ( | 1 | ÷ | 113 100 | ) |
| Left side of the equation = | 25 | X | ( | 1 | ÷ | 113 100 | ) | × | 25 | − | 2303 25 | ( | 1 | ÷ | 113 100 | ) | × | 25 |
| = | 625 | X | ( | 1 | ÷ | 113 100 | ) | − | 2303 | ( | 1 | ÷ | 113 100 | ) |
| = | 625 | X | × | 1 | ÷ | 113 100 | − | 2303 | ( | 1 | ÷ | 113 100 | ) |
| = | 62500 113 | X | − | 2303 | ( | 1 | ÷ | 113 100 | ) |
| = | 62500 113 | X | − | 2303 | × | 1 | ÷ | 113 100 |
| = | 62500 113 | X | − | 230300 113 |
62500 113 | X | − | 230300 113 | = | 188 | ( | 1 | ÷ | 113 100 | ) |
| Right side of the equation = | 188 | × | 1 | ÷ | 113 100 |
| = | 18800 113 |
62500 113 | X | − | 230300 113 | = | 18800 113 |
Transposition :
62500 113 | X | = | 18800 113 | + | 230300 113 |
Combine the items on the right of the equation:
62500 113 | X | = | 249100 113 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 249100 113 | ÷ | 62500 113 |
| = | 249100 113 | × | 113 62500 |
| = | 2491 113 | × | 113 625 |
We obtained :
| X | = | 281483 70625 |
By reducing fraction, we can get:
| X | = | 2491 625 |
Convert the result to decimal form :
| X | = | 3.9856 |