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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 100/135-.1 = 0.00098（200+X） .
Question type: Equation
Solution:Original question:
| 100 | ÷ | 135 | − | 1 10 | = | 49 50000 | ( | 200 | + | X | ) |
| Left side of the equation = | 20 27 | − | 1 10 |
| = | 173 270 |
173 270 | = | 49 50000 | ( | 200 | + | X | ) |
| Right side of the equation = | 49 50000 | × | 200 | + | 49 50000 | X |
| = | 49 250 | + | 49 50000 | X |
173 270 | = | 49 250 | + | 49 50000 | X |
Transposition :
| - | 49 50000 | X | = | 49 250 | − | 173 270 |
Combine the items on the right of the equation:
| - | 49 50000 | X | = | - | 1501 3375 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1501 3375 | = | 49 50000 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
49 50000 | X | = | 1501 3375 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1501 3375 | ÷ | 49 50000 |
| = | 1501 3375 | × | 50000 49 |
| = | 1501 27 | × | 400 49 |
We obtained :
| X | = | 600400 1323 |
Convert the result to decimal form :
| X | = | 453.817082 |