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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-684.87-5000)*3% = X-8500 .
Question type: Equation
Solution:Original question:
| ( | X | − | 68487 100 | − | 5000 | ) | × | 3 100 | = | X | − | 8500 |
| Left side of the equation = | X | × | 3 100 | − | 68487 100 | × | 3 100 | − | 5000 | × | 3 100 |
| = | X | × | 3 100 | − | 205461 10000 | − | 150 |
| = | 3 100 | X | − | 1705461 10000 |
3 100 | X | − | 1705461 10000 | = | X | − | 8500 |
Transposition :
3 100 | X | − | X | = | - | 8500 | + | 1705461 10000 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 8500 | + | 1705461 10000 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 83294539 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
83294539 10000 | = | 97 100 | 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 :
97 100 | X | = | 83294539 10000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 83294539 10000 | ÷ | 97 100 |
| = | 83294539 10000 | × | 100 97 |
| = | 83294539 100 | × | 1 97 |
We obtained :
| X | = | 83294539 9700 |
Convert the result to decimal form :
| X | = | 8587.065876 |