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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 0.44X/[1+0.44(X-1)] = 0.662 .
Question type: Equation
Solution:Original question:
11 25 | X | ÷ | ( | 1 | + | 11 25 | ( | X | − | 1 | ) | ) | = | 331 500 |
| Multiply both sides of the equation by: | ( | 1 | + | 11 25 | ( | X | − | 1 | ) | ) |
11 25 | X | = | 331 500 | ( | 1 | + | 11 25 | ( | X | − | 1 | ) | ) |
11 25 | X | = | 331 500 | × | 1 | + | 331 500 | × | 11 25 | ( | X | − | 1 | ) |
11 25 | X | = | 331 500 | + | 3641 12500 | ( | X | − | 1 | ) |
11 25 | X | = | 331 500 | + | 3641 12500 | X | − | 3641 12500 | × | 1 |
11 25 | X | = | 331 500 | + | 3641 12500 | X | − | 3641 12500 |
11 25 | X | = | 2317 6250 | + | 3641 12500 | X |
Transposition :
11 25 | X | − | 3641 12500 | X | = | 2317 6250 |
Combine the items on the left of the equation:
1859 12500 | X | = | 2317 6250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2317 6250 | ÷ | 1859 12500 |
| = | 2317 6250 | × | 12500 1859 |
| = | 2317 | × | 2 1859 |
We obtained :
| X | = | 4634 1859 |
Convert the result to decimal form :
| X | = | 2.492738 |