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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 125-x-2-（125-x-2）*0.18 = 49.9 .
Question type: Equation
Solution:Original question:
| 125 | − | x | − | 2 | − | ( | 125 | − | x | − | 2 | ) | × | 9 50 | = | 499 10 |
| Left side of the equation = | 123 | − | x | − | ( | 125 | − | x | − | 2 | ) | × | 9 50 |
| 123 | − | x | − | ( | 125 | − | x | − | 2 | ) | × | 9 50 | = | 499 10 |
| Left side of the equation = | 123 | − | x | − | 125 | × | 9 50 | + | x | × | 9 50 | + | 2 | × | 9 50 |
| = | 123 | − | x | − | 45 2 | + | x | × | 9 50 | + | 9 25 |
| = | 5043 50 | − | 41 50 | x |
5043 50 | − | 41 50 | x | = | 499 10 |
Transposition :
| - | 41 50 | x | = | 499 10 | − | 5043 50 |
Combine the items on the right of the equation:
| - | 41 50 | x | = | - | 1274 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1274 25 | = | 41 50 | 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 :
41 50 | x | = | 1274 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1274 25 | ÷ | 41 50 |
| = | 1274 25 | × | 50 41 |
| = | 1274 | × | 2 41 |
We obtained :
| x | = | 2548 41 |
Convert the result to decimal form :
| x | = | 62.146341 |