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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/1.01*0.01-x/1.01*0.01*0.07*0.5-(x/1.01-800)*0.02 = 2000 .
Question type: Equation
Solution:Original question:
| x | − | x | ÷ | 101 100 | × | 1 100 | − | x | ÷ | 101 100 | × | 1 100 | × | 7 100 | × | 1 2 | − | ( | x | ÷ | 101 100 | − | 800 | ) | × | 1 50 | = | 2000 |
| Left side of the equation = | x | − | x | × | 1 101 | − | x | × | 7 20200 | − | ( | x | ÷ | 101 100 | − | 800 | ) | × | 1 50 |
| = | 19993 20200 | x | − | ( | x | ÷ | 101 100 | − | 800 | ) | × | 1 50 |
19993 20200 | x | − | ( | x | ÷ | 101 100 | − | 800 | ) | × | 1 50 | = | 2000 |
| Left side of the equation = | 19993 20200 | x | − | x | ÷ | 101 100 | × | 1 50 | + | 800 | × | 1 50 |
| = | 19993 20200 | x | − | x | × | 2 101 | + | 16 |
| = | 19593 20200 | x | + | 16 |
19593 20200 | x | + | 16 | = | 2000 |
Transposition :
19593 20200 | x | = | 2000 | − | 16 |
Combine the items on the right of the equation:
19593 20200 | x | = | 1984 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1984 | ÷ | 19593 20200 |
| = | 1984 | × | 20200 19593 |
We obtained :
| x | = | 40076800 19593 |
Convert the result to decimal form :
| x | = | 2045.465217 |