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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 3485.51-X-(3385.51-X)*0.1-5 = 274.76 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 3485.51-X-(3385.51-X)*0.1-5 = 274.76 .
Question type: Equation
Solution:Original question:
348551 100 | − | X | − | ( | 338551 100 | − | X | ) | × | 1 10 | − | 5 | = | 6869 25 |
| Left side of the equation = | 348051 100 | − | X | − | ( | 338551 100 | − | X | ) | × | 1 10 |
348051 100 | − | X | − | ( | 338551 100 | − | X | ) | × | 1 10 | = | 6869 25 |
| Left side of the equation = | 348051 100 | − | X | − | 338551 100 | × | 1 10 | + | X | × | 1 10 |
| = | 348051 100 | − | X | − | 338551 1000 | + | X | × | 1 10 |
| = | 3141959 1000 | − | 9 10 | X |
3141959 1000 | − | 9 10 | X | = | 6869 25 |
Transposition :
| - | 9 10 | X | = | 6869 25 | − | 3141959 1000 |
Combine the items on the right of the equation:
| - | 9 10 | X | = | - | 2867199 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2867199 1000 | = | 9 10 | 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 :
9 10 | X | = | 2867199 1000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2867199 1000 | ÷ | 9 10 |
| = | 2867199 1000 | × | 10 9 |
| = | 955733 100 | × | 1 3 |
We obtained :
| X | = | 955733 300 |
Convert the result to decimal form :
| X | = | 3185.776667 |