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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 x-x/1.05*1.12-x*0.05%-(x-x/1.05)*5% = 4500 .
Question type: Equation
Solution:Original question:
| x | − | x | ÷ | 21 20 | × | 28 25 | − | x | × | 1 2000 | − | ( | x | − | x | ÷ | 21 20 | ) | × | 5 100 | = | 4500 |
| Left side of the equation = | x | − | x | × | 16 15 | − | x | × | 1 2000 | − | ( | x | − | x | ÷ | 21 20 | ) | × | 5 100 |
| = | - | 403 6000 | x | − | ( | x | − | x | ÷ | 21 20 | ) | × | 5 100 |
| - | 403 6000 | x | − | ( | x | − | x | ÷ | 21 20 | ) | × | 5 100 | = | 4500 |
| Left side of the equation = | - | 403 6000 | x | − | x | × | 5 100 | + | x | ÷ | 21 20 | × | 5 100 |
| = | - | 403 6000 | x | − | x | × | 5 100 | + | x | × | 1 21 |
| = | - | 2921 42000 | x |
| - | 2921 42000 | x | = | 4500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 4500 | = | 2921 42000 | 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 :
2921 42000 | x | = | - | 4500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 4500 | ÷ | 2921 42000 |
| = | - | 4500 | × | 42000 2921 |
We obtained :
| x | = | - | 189000000 2921 |
Convert the result to decimal form :
| x | = | - 64703.868538 |