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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/87-4/44.7-4/45-(72-X)/500 = 0.115 .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 4 | ÷ | 447 10 | − | 4 | ÷ | 45 | − | ( | 72 | − | X | ) | ÷ | 500 | = | 23 200 |
| Left side of the equation = | X | × | 1 87 | − | 40 447 | − | 4 45 | − | ( | 72 | − | X | ) | × | 1 500 |
| = | 1 87 | X | − | 1196 6705 | − | ( | 72 | − | X | ) | × | 1 500 |
1 87 | X | − | 1196 6705 | − | ( | 72 | − | X | ) | × | 1 500 | = | 23 200 |
| Left side of the equation = | 1 87 | X | − | 1196 6705 | − | 72 | × | 1 500 | + | X | × | 1 500 |
| = | 1 87 | X | − | 1196 6705 | − | 18 125 | + | X | × | 1 500 |
| = | 587 43500 | X | − | 54038 167625 |
587 43500 | X | − | 54038 167625 | = | 23 200 |
Transposition :
587 43500 | X | = | 23 200 | + | 54038 167625 |
Combine the items on the right of the equation:
587 43500 | X | = | 586519 1341000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 586519 1341000 | ÷ | 587 43500 |
| = | 586519 1341000 | × | 43500 587 |
| = | 586519 894 | × | 29 587 |
We obtained :
| X | = | 17009051 524778 |
Convert the result to decimal form :
| X | = | 32.411898 |