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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/200+（90.2-X）/127.5 = 0.5365 .
Question type: Equation
Solution:Original question:
| X | ÷ | 200 | + | ( | 451 5 | − | X | ) | ÷ | 255 2 | = | 1073 2000 |
| Left side of the equation = | 1 200 | X | + | 451 5 | × | 2 255 | − | X | × | 2 255 |
| = | 1 200 | X | + | 902 1275 | − | X | × | 2 255 |
| = | - | 29 10200 | X | + | 902 1275 |
| - | 29 10200 | X | + | 902 1275 | = | 1073 2000 |
Transposition :
| - | 29 10200 | X | = | 1073 2000 | − | 902 1275 |
Combine the items on the right of the equation:
| - | 29 10200 | X | = | - | 17437 102000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
17437 102000 | = | 29 10200 | 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 :
29 10200 | X | = | 17437 102000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 17437 102000 | ÷ | 29 10200 |
| = | 17437 102000 | × | 10200 29 |
| = | 17437 10 | × | 1 29 |
We obtained :
| X | = | 17437 290 |
Convert the result to decimal form :
| X | = | 60.127586 |