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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 （22806.83-X/1.01*0.01)*1.12 = 273525.58-X .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （22806.83-X/1.01*0.01)*1.12 = 273525.58-X .
Question type: Equation
Solution:Original question:
| ( | 2280683 100 | − | X | ÷ | 101 100 | × | 1 100 | ) | × | 28 25 | = | 13676279 50 | − | X |
| Left side of the equation = | 2280683 100 | × | 28 25 | − | X | ÷ | 101 100 | × | 1 100 | × | 28 25 |
| = | 15964781 625 | − | X | × | 28 2525 |
15964781 625 | − | 28 2525 | X | = | 13676279 50 | − | X |
Transposition :
| - | 28 2525 | X | + | X | = | 13676279 50 | − | 15964781 625 |
Combine the items on the left of the equation:
| - | - | 2497 2525 | X | = | 13676279 50 | − | 15964781 625 |
Combine the items on the right of the equation:
| - | - | 2497 2525 | X | = | 309977413 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 309977413 1250 | = | - | 2497 2525 | 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 :
| - | 2497 2525 | X | = | - | 309977413 1250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 309977413 1250 | ÷ | 2497 2525 |
| = | 309977413 1250 | × | 2525 2497 |
| = | 309977413 50 | × | 101 2497 |
We obtained :
| X | = | 31307718713 124850 |