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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 430 = （8000+x）/（8000/650+x/185） .
Question type: Equation
Solution:Original question:
| 430 | = | ( | 8000 | + | x | ) | ÷ | ( | 8000 | ÷ | 650 | + | x | ÷ | 185 | ) |
| Multiply both sides of the equation by: | ( | 8000 | ÷ | 650 | + | x | ÷ | 185 | ) |
| 430 | ( | 8000 | ÷ | 650 | + | x | ÷ | 185 | ) | = | ( | 8000 | + | x | ) |
| 430 | × | 8000 | ÷ | 650 | + | 430 | x | ÷ | 185 | = | ( | 8000 | + | x | ) |
| 430 | × | 8000 | ÷ | 650 | + | 430 | x | ÷ | 185 | = | 8000 | + | x |
68800 13 | + | 86 37 | x | = | 8000 | + | x |
Transposition :
86 37 | x | − | x | = | 8000 | − | 68800 13 |
Combine the items on the left of the equation:
49 37 | x | = | 8000 | − | 68800 13 |
Combine the items on the right of the equation:
49 37 | x | = | 35200 13 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 35200 13 | ÷ | 49 37 |
| = | 35200 13 | × | 37 49 |
We obtained :
| x | = | 1302400 637 |
Convert the result to decimal form :
| x | = | 2044.583987 |