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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 [(39869.47-X)/39869.47]*100% = 9% .
Question type: Equation
Solution:Original question:
| ( | ( | 3986947 100 | − | X | ) | ÷ | 3986947 100 | ) | × | 100 100 | = | 9 100 |
| Left side of the equation = | ( | 3986947 100 | − | X | ) | ÷ | 3986947 100 | × | 100 100 |
| = | ( | 3986947 100 | − | X | ) | × | 100 3986947 |
| = | 3986947 100 | × | 100 3986947 | − | X | × | 100 3986947 |
| = | 2887 2887 | − | X | × | 100 3986947 |
2887 2887 | − | 100 3986947 | X | = | 9 100 |
Transposition :
| - | 100 3986947 | X | = | 9 100 | − | 2887 2887 |
Combine the items on the right of the equation:
| - | 100 3986947 | X | = | - | 262717 288700 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
262717 288700 | = | 100 3986947 | 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 :
100 3986947 | X | = | 262717 288700 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 262717 288700 | ÷ | 100 3986947 |
| = | 262717 288700 | × | 3986947 100 |
We obtained :
| X | = | 1047438754999 28870000 |