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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 (192.5+95.256x)/(3.5+15.12x) = 25 .
Question type: Equation
Solution:Original question:
| ( | 385 2 | + | 11907 125 | x | ) | ÷ | ( | 7 2 | + | 378 25 | x | ) | = | 25 |
| Multiply both sides of the equation by: | ( | 7 2 | + | 378 25 | x | ) |
| ( | 385 2 | + | 11907 125 | x | ) | = | 25 | ( | 7 2 | + | 378 25 | x | ) |
385 2 | + | 11907 125 | x | = | 25 | ( | 7 2 | + | 378 25 | x | ) |
385 2 | + | 11907 125 | x | = | 25 | × | 7 2 | + | 25 | × | 378 25 | x |
385 2 | + | 11907 125 | x | = | 175 2 | + | 378 | x |
Transposition :
11907 125 | x | − | 378 | x | = | 175 2 | − | 385 2 |
Combine the items on the left of the equation:
| - | 35343 125 | x | = | 175 2 | − | 385 2 |
Combine the items on the right of the equation:
| - | 35343 125 | x | = | - | 105 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 105 | = | 35343 125 | 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 :
35343 125 | x | = | 105 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 105 | ÷ | 35343 125 |
| = | 105 | × | 125 35343 |
| = | 5 | × | 125 1683 |
We obtained :
| x | = | 625 1683 |
Convert the result to decimal form :
| x | = | 0.371361 |