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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 x = 1.01*(100-x) .
Question type: Equation
Solution:Original question:
| x | = | 101 100 | ( | 100 | − | x | ) |
| Right side of the equation = | 101 100 | × | 100 | − | 101 100 | x |
| = | 101 | − | 101 100 | x |
| x | = | 101 | − | 101 100 | x |
Transposition :
| x | + | 101 100 | x | = | 101 |
Combine the items on the left of the equation:
201 100 | x | = | 101 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 101 | ÷ | 201 100 |
| = | 101 | × | 100 201 |
We obtained :
| x | = | 10100 201 |
Convert the result to decimal form :
| x | = | 50.248756 |