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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 {47.47*(1+a)*500+51.47*(1+a)*134}/634 = 56.9 .
Question type: Equation
Solution:Original question:
| ( | 4747 100 | ( | 1 | + | a | ) | × | 500 | + | 5147 100 | ( | 1 | + | a | ) | × | 134 | ) | ÷ | 634 | = | 569 10 |
| Left side of the equation = | 4747 100 | ( | 1 | + | a | ) | × | 500 | × | 1 634 | + | 5147 100 | ( | 1 | + | a | ) | × | 134 | × | 1 634 |
| = | 23735 634 | ( | 1 | + | a | ) | + | 344849 31700 | ( | 1 | + | a | ) |
| = | 23735 634 | × | 1 | + | 23735 634 | a | + | 344849 31700 | ( | 1 | + | a | ) |
| = | 23735 634 | + | 23735 634 | a | + | 344849 31700 | ( | 1 | + | a | ) |
| = | 23735 634 | + | 23735 634 | a | + | 344849 31700 | × | 1 | + | 344849 31700 | a |
| = | 23735 634 | + | 23735 634 | a | + | 344849 31700 | + | 344849 31700 | a |
| = | 1531599 31700 | + | 1531599 31700 | a |
1531599 31700 | + | 1531599 31700 | a | = | 569 10 |
Transposition :
1531599 31700 | a | = | 569 10 | − | 1531599 31700 |
Combine the items on the right of the equation:
1531599 31700 | a | = | 272131 31700 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 272131 31700 | ÷ | 1531599 31700 |
| = | 272131 31700 | × | 31700 1531599 |
| = | 272131 317 | × | 317 1531599 |
We obtained :
| a | = | 86265527 485516883 |
By reducing fraction, we can get:
| a | = | 272131 1531599 |
Convert the result to decimal form :
| a | = | 0.177678 |