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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 1/101*X+13/113*（293786.95-X） = 18766.32 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 101 | × | X | + | 13 | ÷ | 113 | × | ( | 5875739 20 | − | X | ) | = | 469158 25 |
| Left side of the equation = | 1 101 | X | + | 13 113 | ( | 5875739 20 | − | X | ) |
1 101 | X | + | 13 113 | ( | 5875739 20 | − | X | ) | = | 469158 25 |
| Left side of the equation = | 1 101 | X | + | 13 113 | × | 5875739 20 | − | 13 113 | X |
| = | 1 101 | X | + | 76384607 2260 | − | 13 113 | X |
| = | - | 1200 11413 | X | + | 76384607 2260 |
| - | 1200 11413 | X | + | 76384607 2260 | = | 469158 25 |
Transposition :
| - | 1200 11413 | X | = | 469158 25 | − | 76384607 2260 |
Combine the items on the right of the equation:
| - | 1200 11413 | X | = | - | 169863619 11300 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
169863619 11300 | = | 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 | = | 169863619 11300 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 169863619 11300 | ÷ | 1200 11413 |
| = | 169863619 11300 | × | 11413 1200 |
We obtained :
| X | = | 1938653483647 13560000 |