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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/111-2/44.7-2/45-(76-X)/500 = 0.115 .
Question type: Equation
Solution:Original question:
| X | ÷ | 111 | − | 2 | ÷ | 447 10 | − | 2 | ÷ | 45 | − | ( | 76 | − | X | ) | ÷ | 500 | = | 23 200 |
| Left side of the equation = | X | × | 1 111 | − | 20 447 | − | 2 45 | − | ( | 76 | − | X | ) | × | 1 500 |
| = | 1 111 | X | − | 598 6705 | − | ( | 76 | − | X | ) | × | 1 500 |
1 111 | X | − | 598 6705 | − | ( | 76 | − | X | ) | × | 1 500 | = | 23 200 |
| Left side of the equation = | 1 111 | X | − | 598 6705 | − | 76 | × | 1 500 | + | X | × | 1 500 |
| = | 1 111 | X | − | 598 6705 | − | 19 125 | + | X | × | 1 500 |
| = | 611 55500 | X | − | 40429 167625 |
611 55500 | X | − | 40429 167625 | = | 23 200 |
Transposition :
611 55500 | X | = | 23 200 | + | 40429 167625 |
Combine the items on the right of the equation:
611 55500 | X | = | 477647 1341000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 477647 1341000 | ÷ | 611 55500 |
| = | 477647 1341000 | × | 55500 611 |
| = | 477647 894 | × | 37 611 |
We obtained :
| X | = | 17672939 546234 |
Convert the result to decimal form :
| X | = | 32.354154 |