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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 = 57.52 .
Question type: Equation
Solution:Original question:
| ( | 477 10 | ( | 1 | + | a | ) | × | 500 | + | 2523 50 | ( | 1 | + | a | ) | × | 134 | ) | ÷ | 634 | = | 1438 25 |
| 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 | = | 1438 25 |
Transposition :
765291 15850 | a | = | 1438 25 | − | 765291 15850 |
Combine the items on the right of the equation:
765291 15850 | a | = | 146401 15850 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 146401 15850 | ÷ | 765291 15850 |
| = | 146401 15850 | × | 15850 765291 |
| = | 146401 317 | × | 317 765291 |
We obtained :
| a | = | 46409117 242597247 |
By reducing fraction, we can get:
| a | = | 146401 765291 |
Convert the result to decimal form :
| a | = | 0.191301 |