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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*0.05-x/1.05*0.05*0.12-x*0.05%-(x-x/1.05*0.05-2500)*5% = 4500 .
Question type: Equation
Solution:Original question:
| x | − | x | ÷ | 21 20 | × | 1 20 | − | x | ÷ | 21 20 | × | 1 20 | × | 3 25 | − | x | × | 1 2000 | − | ( | x | − | x | ÷ | 21 20 | × | 1 20 | − | 2500 | ) | × | 5 100 | = | 4500 |
| Left side of the equation = | x | − | x | × | 1 21 | − | x | × | 1 175 | − | x | × | 1 2000 | − | ( | x | − | x | ÷ | 21 20 | × | 1 20 | − | 2500 | ) | × | 5 100 |
| = | 5677 6000 | x | − | ( | x | − | x | ÷ | 21 20 | × | 1 20 | − | 2500 | ) | × | 5 100 |
5677 6000 | x | − | ( | x | − | x | ÷ | 21 20 | × | 1 20 | − | 2500 | ) | × | 5 100 | = | 4500 |
| Left side of the equation = | 5677 6000 | x | − | x | × | 5 100 | + | x | ÷ | 21 20 | × | 1 20 | × | 5 100 | + | 2500 | × | 5 100 |
| = | 5677 6000 | x | − | x | × | 5 100 | + | x | × | 1 420 | + | 125 |
| = | 37739 42000 | x | + | 125 |
37739 42000 | x | + | 125 | = | 4500 |
Transposition :
37739 42000 | x | = | 4500 | − | 125 |
Combine the items on the right of the equation:
37739 42000 | x | = | 4375 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4375 | ÷ | 37739 42000 |
| = | 4375 | × | 42000 37739 |
We obtained :
| x | = | 183750000 37739 |
Convert the result to decimal form :
| x | = | 4868.968441 |