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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 （62500-1.1X）*10.4/22.4*0.9 = 8.8X .
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 left 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 （62500-1.1X）*10.4/22.4*0.9 = 8.8X .
Question type: Equation
Solution:Original question:
| ( | 62500 | − | 11 10 | X | ) | × | 52 5 | ÷ | 112 5 | × | 9 10 | = | 44 5 | X |
| Left side of the equation = | ( | 62500 | − | 11 10 | X | ) | × | 117 280 |
| ( | 62500 | − | 11 10 | X | ) | × | 117 280 | = | 44 5 | X |
| Left side of the equation = | 62500 | × | 117 280 | − | 11 10 | X | × | 117 280 |
| = | 365625 14 | − | 1287 2800 | X |
365625 14 | − | 1287 2800 | X | = | 44 5 | X |
Transposition :
| - | 1287 2800 | X | − | 44 5 | X | = | - | 365625 14 |
Combine the items on the left of the equation:
| - | 25927 2800 | X | = | - | 365625 14 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
365625 14 | = | 25927 2800 | 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 :
25927 2800 | X | = | 365625 14 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 365625 14 | ÷ | 25927 2800 |
| = | 365625 14 | × | 2800 25927 |
| = | 365625 | × | 200 25927 |
We obtained :
| X | = | 73125000 25927 |
Convert the result to decimal form :
| X | = | 2820.418868 |