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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 x2/(1-2x)2 = 15.515 .
Question type: Equation
Solution:Original question:
| x | × | 2 | ÷ | ( | 1 | − | 2 | x | ) | × | 2 | = | 3103 200 |
| Multiply both sides of the equation by: | ( | 1 | − | 2 | x | ) |
| x | × | 2 | × | 2 | = | 3103 200 | ( | 1 | − | 2 | x | ) |
| x | × | 2 | × | 2 | = | 3103 200 | × | 1 | − | 3103 200 | × | 2 | x |
| x | × | 4 | = | 3103 200 | − | 3103 100 | x |
Transposition :
| 4 | x | + | 3103 100 | x | = | 3103 200 |
Combine the items on the left of the equation:
3503 100 | x | = | 3103 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3103 200 | ÷ | 3503 100 |
| = | 3103 200 | × | 100 3503 |
| = | 3103 2 | × | 1 3503 |
We obtained :
| x | = | 3103 7006 |
Convert the result to decimal form :
| x | = | 0.442906 |