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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 {47.70*(1+a)*500+50.46*(1+a)*134}/634 = 57.70 .
Question type: Equation
Solution:Original question:
| ( | 477 10 | ( | 1 | + | a | ) | × | 500 | + | 2523 50 | ( | 1 | + | a | ) | × | 134 | ) | ÷ | 634 | = | 577 10 |
| Left side of the equation = | 477 10 | ( | 1 | + | a | ) | × | 500 | × | 1 634 | + | 2523 50 | ( | 1 | + | a | ) | × | 134 | × | 1 634 |
| = | 11925 317 | ( | 1 | + | a | ) | + | 169041 15850 | ( | 1 | + | a | ) |
| = | 11925 317 | × | 1 | + | 11925 317 | a | + | 169041 15850 | ( | 1 | + | a | ) |
| = | 11925 317 | + | 11925 317 | a | + | 169041 15850 | ( | 1 | + | a | ) |
| = | 11925 317 | + | 11925 317 | a | + | 169041 15850 | × | 1 | + | 169041 15850 | a |
| = | 11925 317 | + | 11925 317 | a | + | 169041 15850 | + | 169041 15850 | a |
| = | 765291 15850 | + | 765291 15850 | a |
765291 15850 | + | 765291 15850 | a | = | 577 10 |
Transposition :
765291 15850 | a | = | 577 10 | − | 765291 15850 |
Combine the items on the right of the equation:
765291 15850 | a | = | 74627 7925 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 74627 7925 | ÷ | 765291 15850 |
| = | 74627 7925 | × | 15850 765291 |
| = | 74627 317 | × | 634 765291 |
We obtained :
| a | = | 47313518 242597247 |
By reducing fraction, we can get:
| a | = | 149254 765291 |
Convert the result to decimal form :
| a | = | 0.195029 |