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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/111-536/500-100/44.7 = 0.001（X+636） .
Question type: Equation
Solution:Original question:
| X | ÷ | 111 | − | 536 | ÷ | 500 | − | 100 | ÷ | 447 10 | = | 1 1000 | ( | X | + | 636 | ) |
| Left side of the equation = | X | × | 1 111 | − | 134 125 | − | 1000 447 |
| = | 1 111 | X | − | 184898 55875 |
1 111 | X | − | 184898 55875 | = | 1 1000 | ( | X | + | 636 | ) |
| Right side of the equation = | 1 1000 | X | + | 1 1000 | × | 636 |
| = | 1 1000 | X | + | 159 250 |
1 111 | X | − | 184898 55875 | = | 1 1000 | X | + | 159 250 |
Transposition :
1 111 | X | − | 1 1000 | X | = | 159 250 | + | 184898 55875 |
Combine the items on the left of the equation:
889 111000 | X | = | 159 250 | + | 184898 55875 |
Combine the items on the right of the equation:
889 111000 | X | = | 440869 111750 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 440869 111750 | ÷ | 889 111000 |
| = | 440869 111750 | × | 111000 889 |
| = | 440869 149 | × | 148 889 |
We obtained :
| X | = | 65248612 132461 |
Convert the result to decimal form :
| X | = | 492.587343 |