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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 5-X/1000 = X-0.7/360+X/3000+X/4700 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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 5-X/1000 = X-0.7/360+X/3000+X/4700 .
Question type: Equation
Solution:Original question:
| 5 | − | X | ÷ | 1000 | = | X | − | 7 10 | ÷ | 360 | + | X | ÷ | 3000 | + | X | ÷ | 4700 |
| Right side of the equation = | X | − | 7 3600 | + | X | × | 1 3000 | + | X | × | 1 4700 |
| = | 141077 141000 | X | − | 7 3600 |
| 5 | − | 1 1000 | X | = | 141077 141000 | X | − | 7 3600 |
Transposition :
| - | 1 1000 | X | − | 141077 141000 | X | = | - | 7 3600 | − | 5 |
Combine the items on the left of the equation:
| - | 70609 70500 | X | = | - | 7 3600 | − | 5 |
Combine the items on the right of the equation:
| - | 70609 70500 | X | = | - | 18007 3600 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
18007 3600 | = | 70609 70500 | 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 :
70609 70500 | X | = | 18007 3600 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 18007 3600 | ÷ | 70609 70500 |
| = | 18007 3600 | × | 70500 70609 |
| = | 1637 12 | × | 235 6419 |
We obtained :
| X | = | 384695 77028 |
Convert the result to decimal form :
| X | = | 4.994223 |