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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 .1+X/127.5+5/89.14+17/102 = 0.00344(132+X） .
Question type: Equation
Solution:Original question:
1 10 | + | X | ÷ | 255 2 | + | 5 | ÷ | 4457 50 | + | 17 | ÷ | 102 | = | 43 12500 | ( | 132 | + | X | ) |
| Left side of the equation = | 1 10 | + | X | × | 2 255 | + | 250 4457 | + | 1 6 |
| = | 21578 66855 | + | 2 255 | X |
21578 66855 | + | 2 255 | X | = | 43 12500 | ( | 132 | + | X | ) |
| Right side of the equation = | 43 12500 | × | 132 | + | 43 12500 | X |
| = | 1419 3125 | + | 43 12500 | X |
21578 66855 | + | 2 255 | X | = | 1419 3125 | + | 43 12500 | X |
Transposition :
2 255 | X | − | 43 12500 | X | = | 1419 3125 | − | 21578 66855 |
Combine the items on the left of the equation:
2807 637500 | X | = | 1419 3125 | − | 21578 66855 |
Combine the items on the right of the equation:
2807 637500 | X | = | 5487199 41784375 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 5487199 41784375 | ÷ | 2807 637500 |
| = | 5487199 41784375 | × | 637500 2807 |
| = | 5487199 4457 | × | 68 2807 |
We obtained :
| X | = | 373129532 12510799 |
Convert the result to decimal form :
| X | = | 29.824596 |