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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 5/102+10/44.7+X/127.5+（82.4-X）/1000 = 0.4605 .
Question type: Equation
Solution:Original question:
| 5 | ÷ | 102 | + | 10 | ÷ | 447 10 | + | X | ÷ | 255 2 | + | ( | 412 5 | − | X | ) | ÷ | 1000 | = | 921 2000 |
| Left side of the equation = | 5 102 | + | 100 447 | + | X | × | 2 255 | + | ( | 412 5 | − | X | ) | × | 1 1000 |
| = | 4145 15198 | + | 2 255 | X | + | ( | 412 5 | − | X | ) | × | 1 1000 |
4145 15198 | + | 2 255 | X | + | ( | 412 5 | − | X | ) | × | 1 1000 | = | 921 2000 |
| Left side of the equation = | 4145 15198 | + | 2 255 | X | + | 412 5 | × | 1 1000 | − | X | × | 1 1000 |
| = | 4145 15198 | + | 2 255 | X | + | 103 1250 | − | X | × | 1 1000 |
| = | 1686661 4749375 | + | 349 51000 | X |
1686661 4749375 | + | 349 51000 | X | = | 921 2000 |
Transposition :
349 51000 | X | = | 921 2000 | − | 1686661 4749375 |
Combine the items on the right of the equation:
349 51000 | X | = | 8006819 75990000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 8006819 75990000 | ÷ | 349 51000 |
| = | 8006819 75990000 | × | 51000 349 |
| = | 8006819 1490 | × | 1 349 |
We obtained :
| X | = | 8006819 520010 |
Convert the result to decimal form :
| X | = | 15.397433 |