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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) = 8.3636 .
Question type: Equation
Solution:Original question:
| 16 | a | ÷ | ( | 2000 | + | a | ) | = | 20909 2500 |
| Multiply both sides of the equation by: | ( | 2000 | + | a | ) |
| 16 | a | = | 20909 2500 | ( | 2000 | + | a | ) |
| 16 | a | = | 20909 2500 | × | 2000 | + | 20909 2500 | a |
| 16 | a | = | 83636 5 | + | 20909 2500 | a |
Transposition :
| 16 | a | − | 20909 2500 | a | = | 83636 5 |
Combine the items on the left of the equation:
19091 2500 | a | = | 83636 5 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 83636 5 | ÷ | 19091 2500 |
| = | 83636 5 | × | 2500 19091 |
| = | 83636 | × | 500 19091 |
We obtained :
| a | = | 41818000 19091 |
Convert the result to decimal form :
| a | = | 2190.456236 |