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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 （18.65*（1+20%））+（5%*x） = x .
Question type: Equation
Solution:Original question:
| ( | 373 20 | ( | 1 | + | 20 100 | ) | ) | + | ( | 5 100 | x | ) | = | x |
| Left side of the equation = | 373 20 | ( | 1 | + | 20 100 | ) | + | ( | 5 100 | x | ) |
| = | 373 20 | × | 1 | + | 373 20 | × | 20 100 | + | ( | 5 100 | x | ) |
| = | 373 20 | + | 373 100 | + | ( | 5 100 | x | ) |
| = | 1119 50 | + | ( | 5 100 | x | ) |
| = | 1119 50 | + | 5 100 | x |
1119 50 | + | 5 100 | x | = | x |
Transposition :
5 100 | x | − | x | = | - | 1119 50 |
Combine the items on the left of the equation:
| - | 19 20 | x | = | - | 1119 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1119 50 | = | 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 | = | 1119 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1119 50 | ÷ | 19 20 |
| = | 1119 50 | × | 20 19 |
| = | 1119 5 | × | 2 19 |
We obtained :
| x | = | 2238 95 |
Convert the result to decimal form :
| x | = | 23.557895 |