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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) = 10.5427 .
Question type: Equation
Solution:Original question:
| 16 | a | ÷ | ( | 2000 | + | a | ) | = | 105427 10000 |
| Multiply both sides of the equation by: | ( | 2000 | + | a | ) |
| 16 | a | = | 105427 10000 | ( | 2000 | + | a | ) |
| 16 | a | = | 105427 10000 | × | 2000 | + | 105427 10000 | a |
| 16 | a | = | 105427 5 | + | 105427 10000 | a |
Transposition :
| 16 | a | − | 105427 10000 | a | = | 105427 5 |
Combine the items on the left of the equation:
54573 10000 | a | = | 105427 5 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 105427 5 | ÷ | 54573 10000 |
| = | 105427 5 | × | 10000 54573 |
| = | 105427 | × | 2000 54573 |
We obtained :
| a | = | 210854000 54573 |
Convert the result to decimal form :
| a | = | 3863.705495 |