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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 （29.92*（1+20%））+（5%*x） = x .
Question type: Equation
Solution:Original question:
| ( | 748 25 | ( | 1 | + | 20 100 | ) | ) | + | ( | 5 100 | x | ) | = | x |
| Left side of the equation = | 748 25 | ( | 1 | + | 20 100 | ) | + | ( | 5 100 | x | ) |
| = | 748 25 | × | 1 | + | 748 25 | × | 20 100 | + | ( | 5 100 | x | ) |
| = | 748 25 | + | 748 125 | + | ( | 5 100 | x | ) |
| = | 4488 125 | + | ( | 5 100 | x | ) |
| = | 4488 125 | + | 5 100 | x |
4488 125 | + | 5 100 | x | = | x |
Transposition :
5 100 | x | − | x | = | - | 4488 125 |
Combine the items on the left of the equation:
| - | 19 20 | x | = | - | 4488 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4488 125 | = | 19 20 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
19 20 | x | = | 4488 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 4488 125 | ÷ | 19 20 |
| = | 4488 125 | × | 20 19 |
| = | 4488 25 | × | 4 19 |
We obtained :
| x | = | 17952 475 |
Convert the result to decimal form :
| x | = | 37.793684 |