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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 1.1952/x = 1/(1-x)-1.551(x/(x+1)) .
Question type: Equation
Solution:Original question:
747 625 | ÷ | x | = | 1 | ÷ | ( | 1 | − | x | ) | − | 1551 1000 | ( | x | ÷ | ( | x | + | 1 | ) | ) |
| Multiply both sides of the equation by: | x | , | ( | 1 | − | x | ) |
747 625 | ( | 1 | − | x | ) | = | 1 | x | − | 1551 1000 | ( | x | ÷ | ( | x | + | 1 | ) | ) | x | ( | 1 | − | x | ) |
747 625 | × | 1 | − | 747 625 | x | = | 1 | x | − | 1551 1000 | ( | x | ÷ | ( | x | + | 1 | ) | ) | x | ( | 1 | − | x | ) |
747 625 | × | 1 | − | 747 625 | x | = | 1 | x | − | 1551 1000 | x | ÷ | ( | x | + | 1 | ) | × | x | ( | 1 | − | x | ) |
747 625 | − | 747 625 | x | = | 1 | x | − | 1551 1000 | x | ÷ | ( | x | + | 1 | ) | × | x | ( | 1 | − | x | ) |
| Multiply both sides of the equation by: | ( | x | + | 1 | ) |
747 625 | ( | x | + | 1 | ) | − | 747 625 | x | ( | x | + | 1 | ) | = | 1 | x | ( | x | + | 1 | ) | − | 1551 1000 | x | x | ( | 1 | − | x | ) |
747 625 | x | + | 747 625 | × | 1 | − | 747 625 | x | ( | x | + | 1 | ) | = | 1 | x | ( | x | + | 1 | ) | − | 1551 1000 | x | x | ( | 1 | − | x | ) |
747 625 | x | + | 747 625 | × | 1 | − | 747 625 | x | ( | x | + | 1 | ) | = | 1 | x | x | + | 1 | x | × | 1 | − | 1551 1000 | x | x | ( | 1 | − | x | ) |
747 625 | x | + | 747 625 | − | 747 625 | x | ( | x | + | 1 | ) | = | 1 | x | x | + | 1 | x | − | 1551 1000 | x | x | ( | 1 | − | x | ) |
747 625 | x | + | 747 625 | − | 747 625 | x | x | − | 747 625 | x | × | 1 | = | 1 | x | x | + | 1 | x | − | 1551 1000 | x | x | ( | 1 | − | x | ) |
747 625 | x | + | 747 625 | − | 747 625 | x | x | − | 747 625 | x | × | 1 | = | 1 | x | x | + | 1 | x | − | 1551 1000 | x | x | × | 1 | + | 1551 1000 | x | x |
747 625 | x | + | 747 625 | − | 747 625 | x | x | − | 747 625 | x | = | 1 | x | x | + | 1 | x | − | 1551 1000 | x | x | + | 1551 1000 | x | x | x |
| 0 | x | + | 747 625 | − | 747 625 | x | x | = | 1 | x | x | + | 1 | x | − | 1551 1000 | x | x | + | 1551 1000 | x | x | x |
the solutions is:
x≈0.608133 , keep 6 decimal places
There are 1 solution(s).
解方程的详细方法请参阅：《方程的解法》