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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-1602.39-5000）*0.03 = X-8572.05-1602.39 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
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 （X-1602.39-5000）*0.03 = X-8572.05-1602.39 .
Question type: Equation
Solution:Original question:
| ( | X | − | 160239 100 | − | 5000 | ) | × | 3 100 | = | X | − | 171441 20 | − | 160239 100 |
| Left side of the equation = | X | × | 3 100 | − | 160239 100 | × | 3 100 | − | 5000 | × | 3 100 |
| = | X | × | 3 100 | − | 480717 10000 | − | 150 |
| = | 3 100 | X | − | 1980717 10000 |
3 100 | X | − | 1980717 10000 | = | X | − | 171441 20 | − | 160239 100 |
| Right side of the equation = | X | − | 254361 25 |
3 100 | X | − | 1980717 10000 | = | X | − | 254361 25 |
Transposition :
3 100 | X | − | X | = | - | 254361 25 | + | 1980717 10000 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 254361 25 | + | 1980717 10000 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 99763683 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
99763683 10000 | = | 97 100 | 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 :
97 100 | X | = | 99763683 10000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 99763683 10000 | ÷ | 97 100 |
| = | 99763683 10000 | × | 100 97 |
| = | 99763683 100 | × | 1 97 |
We obtained :
| X | = | 99763683 9700 |
Convert the result to decimal form :
| X | = | 10284.915773 |