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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+20.355%*(1-X) = 40% .
Question type: Equation
Solution:Original question:
| X | + | 4071 20000 | ( | 1 | − | X | ) | = | 40 100 |
| Left side of the equation = | X | + | 4071 20000 | × | 1 | − | 4071 20000 | X |
| = | X | + | 4071 20000 | − | 4071 20000 | X |
| = | 15929 20000 | X | + | 4071 20000 |
15929 20000 | X | + | 4071 20000 | = | 40 100 |
Transposition :
15929 20000 | X | = | 40 100 | − | 4071 20000 |
Combine the items on the right of the equation:
15929 20000 | X | = | 3929 20000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3929 20000 | ÷ | 15929 20000 |
| = | 3929 20000 | × | 20000 15929 |
| = | 3929 | × | 1 15929 |
We obtained :
| X | = | 3929 15929 |
Convert the result to decimal form :
| X | = | 0.246657 |