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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/1.01*0.01+（50000-X)/1.13*0.13 = 4128.44 .
Question type: Equation
Solution:Original question:
| X | ÷ | 101 100 | × | 1 100 | + | ( | 50000 | − | X | ) | ÷ | 113 100 | × | 13 100 | = | 103211 25 |
| Left side of the equation = | X | × | 1 101 | + | ( | 50000 | − | X | ) | × | 13 113 |
1 101 | X | + | ( | 50000 | − | X | ) | × | 13 113 | = | 103211 25 |
| Left side of the equation = | 1 101 | X | + | 50000 | × | 13 113 | − | X | × | 13 113 |
| = | 1 101 | X | + | 650000 113 | − | X | × | 13 113 |
| = | - | 1200 11413 | X | + | 650000 113 |
| - | 1200 11413 | X | + | 650000 113 | = | 103211 25 |
Transposition :
| - | 1200 11413 | X | = | 103211 25 | − | 650000 113 |
Combine the items on the right of the equation:
| - | 1200 11413 | X | = | - | 4587157 2825 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4587157 2825 | = | 1200 11413 | 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 :
1200 11413 | X | = | 4587157 2825 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 4587157 2825 | ÷ | 1200 11413 |
| = | 4587157 2825 | × | 11413 1200 |
We obtained :
| X | = | 52353222841 3390000 |