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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-280）/1.13*0.13+20+280 = X .
Question type: Equation
Solution:Original question:
| ( | X | − | 280 | ) | ÷ | 113 100 | × | 13 100 | + | 20 | + | 280 | = | X |
| Left side of the equation = | ( | X | − | 280 | ) | × | 13 113 | + | 20 | + | 280 |
| = | ( | X | − | 280 | ) | × | 13 113 | + | 300 |
| ( | X | − | 280 | ) | × | 13 113 | + | 300 | = | X |
| Left side of the equation = | X | × | 13 113 | − | 280 | × | 13 113 | + | 300 |
| = | X | × | 13 113 | − | 3640 113 | + | 300 |
| = | 13 113 | X | + | 30260 113 |
13 113 | X | + | 30260 113 | = | X |
Transposition :
13 113 | X | − | X | = | - | 30260 113 |
Combine the items on the left of the equation:
| - | 100 113 | X | = | - | 30260 113 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
30260 113 | = | 100 113 | 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 :
100 113 | X | = | 30260 113 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 30260 113 | ÷ | 100 113 |
| = | 30260 113 | × | 113 100 |
| = | 1513 113 | × | 113 5 |
We obtained :
| X | = | 170969 565 |
By reducing fraction, we can get:
| X | = | 1513 5 |
Convert the result to decimal form :
| X | = | 302.6 |