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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 [(73774.24+A+843+8000)-40000-4237.8-843]*3% = 1036.09+A .
Question type: Equation
Solution:Original question:
| ( | ( | 1844356 25 | + | A | + | 843 | + | 8000 | ) | − | 40000 | − | 21189 5 | − | 843 | ) | × | 3 100 | = | 103609 100 | + | A |
| Left side of the equation = | ( | 1844356 25 | + | A | + | 843 | + | 8000 | ) | × | 3 100 | − | 40000 | × | 3 100 | − | 21189 5 | × | 3 100 | − | 843 | × | 3 100 |
| = | ( | 1844356 25 | + | A | + | 843 | + | 8000 | ) | × | 3 100 | − | 1200 | − | 63567 500 | − | 2529 100 |
| = | ( | 1844356 25 | + | A | + | 843 | + | 8000 | ) | × | 3 100 | − | 169053 125 |
| = | 1844356 25 | × | 3 100 | + | A | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 169053 125 |
| = | 1383267 625 | + | A | × | 3 100 | + | 2529 100 | + | 240 | − | 169053 125 |
| = | 2815233 2500 | + | 3 100 | A |
2815233 2500 | + | 3 100 | A | = | 103609 100 | + | A |
Transposition :
3 100 | A | − | A | = | 103609 100 | − | 2815233 2500 |
Combine the items on the left of the equation:
| - | 97 100 | A | = | 103609 100 | − | 2815233 2500 |
Combine the items on the right of the equation:
| - | 97 100 | A | = | - | 56252 625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
56252 625 | = | 97 100 | 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 :
97 100 | A | = | 56252 625 |
The coefficient of the unknown number is reduced to 1 :
| A | = | 56252 625 | ÷ | 97 100 |
| = | 56252 625 | × | 100 97 |
| = | 56252 25 | × | 4 97 |
We obtained :
| A | = | 225008 2425 |
Convert the result to decimal form :
| A | = | 92.786804 |