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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/87-20/277-(60-X)/500 = 0.247 .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 20 | ÷ | 277 | − | ( | 60 | − | X | ) | ÷ | 500 | = | 247 1000 |
| Left side of the equation = | X | × | 1 87 | − | 20 277 | − | ( | 60 | − | X | ) | × | 1 500 |
1 87 | X | − | 20 277 | − | ( | 60 | − | X | ) | × | 1 500 | = | 247 1000 |
| Left side of the equation = | 1 87 | X | − | 20 277 | − | 60 | × | 1 500 | + | X | × | 1 500 |
| = | 1 87 | X | − | 20 277 | − | 3 25 | + | X | × | 1 500 |
| = | 587 43500 | X | − | 1331 6925 |
587 43500 | X | − | 1331 6925 | = | 247 1000 |
Transposition :
587 43500 | X | = | 247 1000 | + | 1331 6925 |
Combine the items on the right of the equation:
587 43500 | X | = | 121659 277000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 121659 277000 | ÷ | 587 43500 |
| = | 121659 277000 | × | 43500 587 |
| = | 121659 554 | × | 87 587 |
We obtained :
| X | = | 10584333 325198 |
Convert the result to decimal form :
| X | = | 32.54735 |