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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 {37.43*(1+a)*500+41.18*(1+a)*134}/634 = 50.35 .
Question type: Equation
Solution:Original question:
| ( | 3743 100 | ( | 1 | + | a | ) | × | 500 | + | 2059 50 | ( | 1 | + | a | ) | × | 134 | ) | ÷ | 634 | = | 1007 20 |
| Left side of the equation = | 3743 100 | ( | 1 | + | a | ) | × | 500 | × | 1 634 | + | 2059 50 | ( | 1 | + | a | ) | × | 134 | × | 1 634 |
| = | 18715 634 | ( | 1 | + | a | ) | + | 137953 15850 | ( | 1 | + | a | ) |
| = | 18715 634 | × | 1 | + | 18715 634 | a | + | 137953 15850 | ( | 1 | + | a | ) |
| = | 18715 634 | + | 18715 634 | a | + | 137953 15850 | ( | 1 | + | a | ) |
| = | 18715 634 | + | 18715 634 | a | + | 137953 15850 | × | 1 | + | 137953 15850 | a |
| = | 18715 634 | + | 18715 634 | a | + | 137953 15850 | + | 137953 15850 | a |
| = | 302914 7925 | + | 302914 7925 | a |
302914 7925 | + | 302914 7925 | a | = | 1007 20 |
Transposition :
302914 7925 | a | = | 1007 20 | − | 302914 7925 |
Combine the items on the right of the equation:
302914 7925 | a | = | 384439 31700 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 384439 31700 | ÷ | 302914 7925 |
| = | 384439 31700 | × | 7925 302914 |
| = | 384439 1268 | × | 317 302914 |
We obtained :
| a | = | 121867163 384094952 |
By reducing fraction, we can get:
| a | = | 384439 1211656 |
Convert the result to decimal form :
| a | = | 0.317284 |