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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 (366019.87-X)/1.13*0.13+X/1.09*0.09 = 41582.41 .
Question type: Equation
Solution:Original question:
| ( | 36601987 100 | − | X | ) | ÷ | 113 100 | × | 13 100 | + | X | ÷ | 109 100 | × | 9 100 | = | 4158241 100 |
| Left side of the equation = | ( | 36601987 100 | − | X | ) | × | 13 113 | + | X | × | 9 109 |
| ( | 36601987 100 | − | X | ) | × | 13 113 | + | 9 109 | X | = | 4158241 100 |
| Left side of the equation = | 36601987 100 | × | 13 113 | − | X | × | 13 113 | + | 9 109 | X |
| = | 475825831 11300 | − | X | × | 13 113 | + | 9 109 | X |
| = | 475825831 11300 | − | 400 12317 | X |
475825831 11300 | − | 400 12317 | X | = | 4158241 100 |
Transposition :
| - | 400 12317 | X | = | 4158241 100 | − | 475825831 11300 |
Combine the items on the right of the equation:
| - | 400 12317 | X | = | - | 2972299 5650 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2972299 5650 | = | 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 | = | 2972299 5650 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2972299 5650 | ÷ | 400 12317 |
| = | 2972299 5650 | × | 12317 400 |
We obtained :
| X | = | 36609806783 2260000 |