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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 0.5567/(5.5286-x)+0.8274/(2.1281-x)+0.2953/(1-x)+0.1284/(0.7968-x)+0.0212/(0.4064-x) = 0.6 .
Question type: Equation
Solution:Original question:
5567 10000 | ÷ | ( | 27643 5000 | − | x | ) | + | 4137 5000 | ÷ | ( | 21281 10000 | − | x | ) | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | + | 321 2500 | ÷ | ( | 498 625 | − | x | ) | + | 53 2500 | ÷ | ( | 254 625 | − | x | ) | = | 3 5 |
| Multiply both sides of the equation by: | ( | 27643 5000 | − | x | ) |
5567 10000 | + | 4137 5000 | ÷ | ( | 21281 10000 | − | x | ) | × | ( | 27643 5000 | − | x | ) | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 27643 5000 | − | x | ) | + | 321 2500 | ÷ | ( | 498 625 | − | x | ) | × | ( | 27643 5000 | − | x | ) | + | 53 2500 | ÷ | ( | 254 625 | − | x | ) | = | 3 5 | ( | 27643 5000 | − | x | ) |
5567 10000 | + | 4137 5000 | ÷ | ( | 21281 10000 | − | x | ) | × | 27643 5000 | − | 4137 5000 | ÷ | ( | 21281 10000 | − | x | ) | × | x | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 27643 5000 | − | x | ) | + | 321 2500 | ÷ | ( | 498 625 | − | x | ) | = | 3 5 | ( | 27643 5000 | − | x | ) |
5567 10000 | + | 4137 5000 | ÷ | ( | 21281 10000 | − | x | ) | × | 27643 5000 | − | 4137 5000 | ÷ | ( | 21281 10000 | − | x | ) | × | x | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 27643 5000 | − | x | ) | + | 321 2500 | ÷ | ( | 498 625 | − | x | ) | = | 3 5 | × | 27643 5000 | − | 3 5 | x |
5567 10000 | + | 114359091 25000000 | ÷ | ( | 21281 10000 | − | x | ) | − | 4137 5000 | ÷ | ( | 21281 10000 | − | x | ) | × | x | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 27643 5000 | − | x | ) | + | 321 2500 | ÷ | ( | 498 625 | − | x | ) | × | ( | 27643 5000 | − | x | ) | = | 82929 25000 | − | 3 5 | x |
| Multiply both sides of the equation by: | ( | 21281 10000 | − | x | ) |
5567 10000 | ( | 21281 10000 | − | x | ) | + | 114359091 25000000 | − | 4137 5000 | x | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 27643 5000 | − | x | ) | ( | 21281 10000 | − | x | ) | + | 321 2500 | ÷ | ( | 498 625 | − | x | ) | × | ( | 27643 5000 | − | x | ) | = | 82929 25000 | ( | 21281 10000 | − | x | ) | − | 3 5 | x | ( | 21281 10000 | − | x | ) |
5567 10000 | × | 21281 10000 | − | 5567 10000 | x | + | 114359091 25000000 | − | 4137 5000 | x | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 27643 5000 | − | x | ) | ( | 21281 10000 | − | x | ) | + | 321 2500 | = | 82929 25000 | ( | 21281 10000 | − | x | ) | − | 3 5 | x | ( | 21281 10000 | − | x | ) |
5567 10000 | × | 21281 10000 | − | 5567 10000 | x | + | 114359091 25000000 | − | 4137 5000 | x | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 27643 5000 | − | x | ) | ( | 21281 10000 | − | x | ) | + | 321 2500 | = | 82929 25000 | × | 21281 10000 | − | 82929 25000 | x | − | 3 5 | x | ( | 21281 10000 | − | x | ) |
118471327 100000000 | − | 5567 10000 | x | + | 114359091 25000000 | − | 4137 5000 | x | + | 2953 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 27643 5000 | − | x | ) | ( | 21281 10000 | − | x | ) | + | 321 2500 | ÷ | ( | 498 625 | − | x | ) | = | 1764812049 250000000 | − | 82929 25000 | x | − | 3 5 | x | ( | 21281 10000 | − | x | ) |
The solution of the equation:
x1≈-0.929920 , keep 6 decimal places
x2≈0.406400 , keep 6 decimal places
x3≈0.430868 , keep 6 decimal places
x4≈0.855919 , keep 6 decimal places
x5≈1.482441 , keep 6 decimal places
x6≈4.972260 , keep 6 decimal places
There are 6 solution(s).
解程的详细方法请参阅：《方程的解法》