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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 444.78 = 60a/（120+a/2） .
Question type: Equation
Solution:Original question:
22239 50 | = | 60 | a | ÷ | ( | 120 | + | a | ÷ | 2 | ) |
| Multiply both sides of the equation by: | ( | 120 | + | a | ÷ | 2 | ) |
22239 50 | ( | 120 | + | a | ÷ | 2 | ) | = | 60 | a |
22239 50 | × | 120 | + | 22239 50 | a | ÷ | 2 | = | 60 | a |
266868 5 | + | 22239 100 | a | = | 60 | a |
Transposition :
22239 100 | a | − | 60 | a | = | - | 266868 5 |
Combine the items on the left of the equation:
16239 100 | a | = | - | 266868 5 |
The coefficient of the unknown number is reduced to 1 :
| a | = | - | 266868 5 | ÷ | 16239 100 |
| = | - | 266868 5 | × | 100 16239 |
| = | - | 88956 | × | 20 5413 |
We obtained :
| a | = | - | 1779120 5413 |
Convert the result to decimal form :
| a | = | - 328.675411 |