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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/2023-2/2023+x/2024+x/2025+2/2025 = 6 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
By reducing fraction, we can get:
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x/2023-2/2023+x/2024+x/2025+2/2025 = 6 .
Question type: Equation
Solution:Original question:
| x | ÷ | 2023 | − | 2 | ÷ | 2023 | + | x | ÷ | 2024 | + | x | ÷ | 2025 | + | 2 | ÷ | 2025 | = | 6 |
| Left side of the equation = | x | × | 1 2023 | − | 2 2023 | + | x | × | 1 2024 | + | x | × | 1 2025 | + | 2 2025 |
| = | 12289727 8291467800 | x | − | 4 4096575 |
12289727 8291467800 | x | − | 4 4096575 | = | 6 |
Transposition :
12289727 8291467800 | x | = | 6 | + | 4 4096575 |
Combine the items on the right of the equation:
12289727 8291467800 | x | = | 24579454 4096575 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 24579454 4096575 | ÷ | 12289727 8291467800 |
| = | 24579454 4096575 | × | 8291467800 12289727 |
| = | 1126 | × | 2024 563 |
We obtained :
| x | = | 2279024 563 |
By reducing fraction, we can get:
| x | = | 4048 |