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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 20/102+1/44.5+X/500+（77.6-X）/1000 = 0.314 .
Question type: Equation
Solution:Original question:
| 20 | ÷ | 102 | + | 1 | ÷ | 89 2 | + | X | ÷ | 500 | + | ( | 388 5 | − | X | ) | ÷ | 1000 | = | 157 500 |
| Left side of the equation = | 10 51 | + | 2 89 | + | X | × | 1 500 | + | ( | 388 5 | − | X | ) | × | 1 1000 |
| = | 992 4539 | + | 1 500 | X | + | ( | 388 5 | − | X | ) | × | 1 1000 |
992 4539 | + | 1 500 | X | + | ( | 388 5 | − | X | ) | × | 1 1000 | = | 157 500 |
| Left side of the equation = | 992 4539 | + | 1 500 | X | + | 388 5 | × | 1 1000 | − | X | × | 1 1000 |
| = | 992 4539 | + | 1 500 | X | + | 97 1250 | − | X | × | 1 1000 |
| = | 1680283 5673750 | + | 1 1000 | X |
1680283 5673750 | + | 1 1000 | X | = | 157 500 |
Transposition :
1 1000 | X | = | 157 500 | − | 1680283 5673750 |
Combine the items on the right of the equation:
1 1000 | X | = | 202549 11347500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 202549 11347500 | ÷ | 1 1000 |
| = | 202549 11347500 | × | 1000 |
| = | 202549 22695 | × | 2 |
We obtained :
| X | = | 405098 22695 |
Convert the result to decimal form :
| X | = | 17.849659 |