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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 a+0.2a+((0.2a+a)*0.2)+((a+0.2a)+(a+0.2a+((0.2a+a)*0.2))*0.06 ) = 181260 .
Question type: Equation
Solution:Original question:
| a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | + | ( | ( | a | + | 1 5 | a | ) | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 | ) | = | 181260 |
| Left side of the equation = | 6 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | + | ( | ( | a | + | 1 5 | a | ) | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 | ) |
6 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | + | ( | ( | a | + | 1 5 | a | ) | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 | ) | = | 181260 |
| Left side of the equation = | 6 5 | a | + | ( | 1 5 | a | + | a | ) | × | 1 5 | + | ( | ( | a | + | 1 5 | a | ) | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 | ) |
| = | 6 5 | a | + | 1 5 | a | × | 1 5 | + | a | × | 1 5 | + | ( | ( | a | + | 1 5 | a | ) | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 | ) |
| = | 6 5 | a | + | 1 25 | a | + | a | × | 1 5 | + | ( | ( | a | + | 1 5 | a | ) | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 | ) |
| = | 36 25 | a | + | ( | ( | a | + | 1 5 | a | ) | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 | ) |
| = | 36 25 | a | + | ( | a | + | 1 5 | a | ) | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 |
| = | 36 25 | a | + | a | + | 1 5 | a | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 |
| = | 66 25 | a | + | ( | a | + | 1 5 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | ) | × | 3 50 |
| = | 66 25 | a | + | a | × | 3 50 | + | 1 5 | a | × | 3 50 | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | × | 3 50 |
| = | 66 25 | a | + | a | × | 3 50 | + | 3 250 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | × | 3 50 |
| = | 339 125 | a | + | ( | ( | 1 5 | a | + | a | ) | × | 1 5 | ) | × | 3 50 |
| = | 339 125 | a | + | ( | 1 5 | a | + | a | ) | × | 1 5 | × | 3 50 |
| = | 339 125 | a | + | ( | 1 5 | a | + | a | ) | × | 3 250 |
| = | 339 125 | a | + | 1 5 | a | × | 3 250 | + | a | × | 3 250 |
| = | 339 125 | a | + | 3 1250 | a | + | a | × | 3 250 |
| = | 1704 625 | a |
1704 625 | a | = | 181260 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 181260 | ÷ | 1704 625 |
| = | 181260 | × | 625 1704 |
| = | 15105 | × | 625 142 |
We obtained :
| a | = | 9440625 142 |
Convert the result to decimal form :
| a | = | 66483.274648 |