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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 {47.45*(1+a)*500+51.40*(1+a)*134}/634 = 57.70 .
Question type: Equation
Solution:Original question:
| ( | 949 20 | ( | 1 | + | a | ) | × | 500 | + | 257 5 | ( | 1 | + | a | ) | × | 134 | ) | ÷ | 634 | = | 577 10 |
| Left side of the equation = | 949 20 | ( | 1 | + | a | ) | × | 500 | × | 1 634 | + | 257 5 | ( | 1 | + | a | ) | × | 134 | × | 1 634 |
| = | 23725 634 | ( | 1 | + | a | ) | + | 17219 1585 | ( | 1 | + | a | ) |
| = | 23725 634 | × | 1 | + | 23725 634 | a | + | 17219 1585 | ( | 1 | + | a | ) |
| = | 23725 634 | + | 23725 634 | a | + | 17219 1585 | ( | 1 | + | a | ) |
| = | 23725 634 | + | 23725 634 | a | + | 17219 1585 | × | 1 | + | 17219 1585 | a |
| = | 23725 634 | + | 23725 634 | a | + | 17219 1585 | + | 17219 1585 | a |
| = | 153063 3170 | + | 153063 3170 | a |
153063 3170 | + | 153063 3170 | a | = | 577 10 |
Transposition :
153063 3170 | a | = | 577 10 | − | 153063 3170 |
Combine the items on the right of the equation:
153063 3170 | a | = | 14923 1585 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 14923 1585 | ÷ | 153063 3170 |
| = | 14923 1585 | × | 3170 153063 |
| = | 14923 317 | × | 634 153063 |
We obtained :
| a | = | 9461182 48520971 |
By reducing fraction, we can get:
| a | = | 29846 153063 |
Convert the result to decimal form :
| a | = | 0.194992 |