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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 (1392657.51-X)/1.13*0.13+X/1.09*0.09 = 126489.75 .
Question type: Equation
Solution:Original question:
| ( | 139265751 100 | − | X | ) | ÷ | 113 100 | × | 13 100 | + | X | ÷ | 109 100 | × | 9 100 | = | 505959 4 |
| Left side of the equation = | ( | 139265751 100 | − | X | ) | × | 13 113 | + | X | × | 9 109 |
| ( | 139265751 100 | − | X | ) | × | 13 113 | + | 9 109 | X | = | 505959 4 |
| Left side of the equation = | 139265751 100 | × | 13 113 | − | X | × | 13 113 | + | 9 109 | X |
| = | 1810454763 11300 | − | X | × | 13 113 | + | 9 109 | X |
| = | 1810454763 11300 | − | 400 12317 | X |
1810454763 11300 | − | 400 12317 | X | = | 505959 4 |
Transposition :
| - | 400 12317 | X | = | 505959 4 | − | 1810454763 11300 |
Combine the items on the right of the equation:
| - | 400 12317 | X | = | - | 95280147 2825 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
95280147 2825 | = | 400 12317 | 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 :
400 12317 | X | = | 95280147 2825 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 95280147 2825 | ÷ | 400 12317 |
| = | 95280147 2825 | × | 12317 400 |
We obtained :
| X | = | 1173565570599 1130000 |