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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-2)/2019+x/2020+(x+2/2021) = 6 .
Question type: Equation
Solution:Original question:
| ( | x | − | 2 | ) | ÷ | 2019 | + | x | ÷ | 2020 | + | ( | x | + | 2 | ÷ | 2021 | ) | = | 6 |
| Left side of the equation = | x | × | 1 2019 | − | 2 | × | 1 2019 | + | 1 2020 | x | + | ( | x | + | 2 | ÷ | 2021 | ) |
| = | x | × | 1 2019 | − | 2 2019 | + | 1 2020 | x | + | ( | x | + | 2 | ÷ | 2021 | ) |
| = | 4039 4078380 | x | − | 2 2019 | + | ( | x | + | 2 | ÷ | 2021 | ) |
| = | 4039 4078380 | x | − | 2 2019 | + | x | + | 2 | ÷ | 2021 |
| = | 4039 4078380 | x | − | 2 2019 | + | x | + | 2 2021 |
| = | 4082419 4078380 | x | − | 4 4080399 |
4082419 4078380 | x | − | 4 4080399 | = | 6 |
Transposition :
4082419 4078380 | x | = | 6 | + | 4 4080399 |
Combine the items on the right of the equation:
4082419 4078380 | x | = | 24482398 4080399 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 24482398 4080399 | ÷ | 4082419 4078380 |
| = | 24482398 4080399 | × | 4078380 4082419 |
| = | 24482398 2021 | × | 2020 4082419 |
We obtained :
| x | = | 49454443960 8250568799 |