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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 10/102+X/200+（80.8-X）/127.5 = 0.5365 .
Question type: Equation
Solution:Original question:
| 10 | ÷ | 102 | + | X | ÷ | 200 | + | ( | 404 5 | − | X | ) | ÷ | 255 2 | = | 1073 2000 |
| Left side of the equation = | 5 51 | + | X | × | 1 200 | + | ( | 404 5 | − | X | ) | × | 2 255 |
5 51 | + | 1 200 | X | + | ( | 404 5 | − | X | ) | × | 2 255 | = | 1073 2000 |
| Left side of the equation = | 5 51 | + | 1 200 | X | + | 404 5 | × | 2 255 | − | X | × | 2 255 |
| = | 5 51 | + | 1 200 | X | + | 808 1275 | − | X | × | 2 255 |
| = | 311 425 | − | 29 10200 | X |
311 425 | − | 29 10200 | X | = | 1073 2000 |
Transposition :
| - | 29 10200 | X | = | 1073 2000 | − | 311 425 |
Combine the items on the right of the equation:
| - | 29 10200 | X | = | - | 6639 34000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6639 34000 | = | 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 | = | 6639 34000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 6639 34000 | ÷ | 29 10200 |
| = | 6639 34000 | × | 10200 29 |
| = | 6639 10 | × | 3 29 |
We obtained :
| X | = | 19917 290 |
Convert the result to decimal form :
| X | = | 68.67931 |