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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 16×a÷(2000+a) = 3.45578 .
Question type: Equation
Solution:Original question:
| 16 | a | ÷ | ( | 2000 | + | a | ) | = | 172789 50000 |
| Multiply both sides of the equation by: | ( | 2000 | + | a | ) |
| 16 | a | = | 172789 50000 | ( | 2000 | + | a | ) |
| 16 | a | = | 172789 50000 | × | 2000 | + | 172789 50000 | a |
| 16 | a | = | 172789 25 | + | 172789 50000 | a |
Transposition :
| 16 | a | − | 172789 50000 | a | = | 172789 25 |
Combine the items on the left of the equation:
627211 50000 | a | = | 172789 25 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 172789 25 | ÷ | 627211 50000 |
| = | 172789 25 | × | 50000 627211 |
| = | 172789 | × | 2000 627211 |
We obtained :
| a | = | 345578000 627211 |
Convert the result to decimal form :
| a | = | 550.975668 |