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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 6600*5.46%*a/360+6600*(3.85*1.3)*(62-a)/360 = 59.47 .
Question type: Equation
Solution:Original question:
| 6600 | × | 273 5000 | a | ÷ | 360 | + | 6600 | ( | 77 20 | × | 13 10 | ) | ( | 62 | − | a | ) | ÷ | 360 | = | 5947 100 |
| Left side of the equation = | 1001 1000 | a | + | 55 3 | ( | 77 20 | × | 13 10 | ) | ( | 62 | − | a | ) |
1001 1000 | a | + | 55 3 | ( | 77 20 | × | 13 10 | ) | ( | 62 | − | a | ) | = | 5947 100 |
| Left side of the equation = | 1001 1000 | a | + | 55 3 | × | 77 20 | × | 13 10 | ( | 62 | − | a | ) |
| = | 1001 1000 | a | + | 11011 120 | ( | 62 | − | a | ) |
| = | 1001 1000 | a | + | 11011 120 | × | 62 | − | 11011 120 | a |
| = | 1001 1000 | a | + | 341341 60 | − | 11011 120 | a |
| = | - | 34034 375 | a | + | 341341 60 |
| - | 34034 375 | a | + | 341341 60 | = | 5947 100 |
Transposition :
| - | 34034 375 | a | = | 5947 100 | − | 341341 60 |
Combine the items on the right of the equation:
| - | 34034 375 | a | = | - | 422216 75 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
422216 75 | = | 34034 375 | a |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
34034 375 | a | = | 422216 75 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 422216 75 | ÷ | 34034 375 |
| = | 422216 75 | × | 375 34034 |
| = | 211108 | × | 5 17017 |
We obtained :
| a | = | 1055540 17017 |
Convert the result to decimal form :
| a | = | 62.02856 |