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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-5926.13）*0.1 = X-10619.19 .
Question type: Equation
Solution:Original question:
| ( | X | − | 592613 100 | ) | × | 1 10 | = | X | − | 1061919 100 |
| Left side of the equation = | X | × | 1 10 | − | 592613 100 | × | 1 10 |
| = | X | × | 1 10 | − | 592613 1000 |
1 10 | X | − | 592613 1000 | = | X | − | 1061919 100 |
Transposition :
1 10 | X | − | X | = | - | 1061919 100 | + | 592613 1000 |
Combine the items on the left of the equation:
| - | 9 10 | X | = | - | 1061919 100 | + | 592613 1000 |
Combine the items on the right of the equation:
| - | 9 10 | X | = | - | 10026577 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
10026577 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 | = | 10026577 1000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 10026577 1000 | ÷ | 9 10 |
| = | 10026577 1000 | × | 10 9 |
| = | 10026577 100 | × | 1 9 |
We obtained :
| X | = | 10026577 900 |
Convert the result to decimal form :
| X | = | 11140.641111 |