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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 0.5761/(3.4516-x)+0.9533/(2.5968-x)+0.466/(1-x) = 0.2 .
Question type: Equation
Solution:Original question:
5761 10000 | ÷ | ( | 8629 2500 | − | x | ) | + | 9533 10000 | ÷ | ( | 1623 625 | − | x | ) | + | 233 500 | ÷ | ( | 1 | − | x | ) | = | 1 5 |
| Multiply both sides of the equation by: | ( | 8629 2500 | − | x | ) |
5761 10000 | + | 9533 10000 | ÷ | ( | 1623 625 | − | x | ) | × | ( | 8629 2500 | − | x | ) | + | 233 500 | ÷ | ( | 1 | − | x | ) | × | ( | 8629 2500 | − | x | ) | = | 1 5 | ( | 8629 2500 | − | x | ) |
5761 10000 | + | 9533 10000 | ÷ | ( | 1623 625 | − | x | ) | × | 8629 2500 | − | 9533 10000 | ÷ | ( | 1623 625 | − | x | ) | × | x | + | 233 500 | ÷ | ( | 1 | − | x | ) | × | ( | 8629 2500 | − | x | ) | = | 1 5 | ( | 8629 2500 | − | x | ) |
5761 10000 | + | 9533 10000 | ÷ | ( | 1623 625 | − | x | ) | × | 8629 2500 | − | 9533 10000 | ÷ | ( | 1623 625 | − | x | ) | × | x | + | 233 500 | ÷ | ( | 1 | − | x | ) | × | ( | 8629 2500 | − | x | ) | = | 1 5 | × | 8629 2500 | − | 1 5 | x |
5761 10000 | + | 82260257 25000000 | ÷ | ( | 1623 625 | − | x | ) | − | 9533 10000 | ÷ | ( | 1623 625 | − | x | ) | × | x | + | 233 500 | ÷ | ( | 1 | − | x | ) | × | ( | 8629 2500 | − | x | ) | = | 8629 12500 | − | 1 5 | x |
| Multiply both sides of the equation by: | ( | 1623 625 | − | x | ) |
5761 10000 | ( | 1623 625 | − | x | ) | + | 82260257 25000000 | − | 9533 10000 | x | + | 233 500 | ÷ | ( | 1 | − | x | ) | × | ( | 8629 2500 | − | x | ) | ( | 1623 625 | − | x | ) | = | 8629 12500 | ( | 1623 625 | − | x | ) | − | 1 5 | x | ( | 1623 625 | − | x | ) |
5761 10000 | × | 1623 625 | − | 5761 10000 | x | + | 82260257 25000000 | − | 9533 10000 | x | + | 233 500 | ÷ | ( | 1 | − | x | ) | × | ( | 8629 2500 | − | x | ) | ( | 1623 625 | − | x | ) | = | 8629 12500 | ( | 1623 625 | − | x | ) | − | 1 5 | x | ( | 1623 625 | − | x | ) |
5761 10000 | × | 1623 625 | − | 5761 10000 | x | + | 82260257 25000000 | − | 9533 10000 | x | + | 233 500 | ÷ | ( | 1 | − | x | ) | × | ( | 8629 2500 | − | x | ) | ( | 1623 625 | − | x | ) | = | 8629 12500 | × | 1623 625 | − | 8629 12500 | x | − | 1 5 | x | ( | 1623 625 | − | x | ) |
9350103 6250000 | − | 5761 10000 | x | + | 82260257 25000000 | − | 9533 10000 | x | + | 233 500 | ÷ | ( | 1 | − | x | ) | × | ( | 8629 2500 | − | x | ) | ( | 1623 625 | − | x | ) | = | 14004867 7812500 | − | 8629 12500 | x | − | 1 5 | x | ( | 1623 625 | − | x | ) |
The solution of the equation:
x1≈-7.590318 , keep 6 decimal places
x2≈1.488615 , keep 6 decimal places
x3≈3.173103 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》