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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 {47.56*(1+a)*500+51.61*(1+a)*134}/634 = 50.35 .
Question type: Equation
Solution:Original question:
| ( | 1189 25 | ( | 1 | + | a | ) | × | 500 | + | 5161 100 | ( | 1 | + | a | ) | × | 134 | ) | ÷ | 634 | = | 1007 20 |
| Left side of the equation = | 1189 25 | ( | 1 | + | a | ) | × | 500 | × | 1 634 | + | 5161 100 | ( | 1 | + | a | ) | × | 134 | × | 1 634 |
| = | 11890 317 | ( | 1 | + | a | ) | + | 345787 31700 | ( | 1 | + | a | ) |
| = | 11890 317 | × | 1 | + | 11890 317 | a | + | 345787 31700 | ( | 1 | + | a | ) |
| = | 11890 317 | + | 11890 317 | a | + | 345787 31700 | ( | 1 | + | a | ) |
| = | 11890 317 | + | 11890 317 | a | + | 345787 31700 | × | 1 | + | 345787 31700 | a |
| = | 11890 317 | + | 11890 317 | a | + | 345787 31700 | + | 345787 31700 | a |
| = | 1534787 31700 | + | 1534787 31700 | a |
1534787 31700 | + | 1534787 31700 | a | = | 1007 20 |
Transposition :
1534787 31700 | a | = | 1007 20 | − | 1534787 31700 |
Combine the items on the right of the equation:
1534787 31700 | a | = | 15327 7925 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 15327 7925 | ÷ | 1534787 31700 |
| = | 15327 7925 | × | 31700 1534787 |
| = | 15327 317 | × | 1268 1534787 |
We obtained :
| a | = | 19434636 486527479 |
By reducing fraction, we can get:
| a | = | 61308 1534787 |
Convert the result to decimal form :
| a | = | 0.039946 |