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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 10.714*0.2/(10.714−x)+4.762*0.3/(4.762−x)+1.571*0.1/(1.571-x)+0.4/(1-x) = 0 .
Question type: Equation
Solution:Original question:
5357 500 | × | 1 5 | ÷ | ( | 5357 500 | − | x | ) | + | 2381 500 | × | 3 10 | ÷ | ( | 2381 500 | − | x | ) | + | 1571 1000 | × | 1 10 | ÷ | ( | 1571 1000 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 5357 500 | − | x | ) |
5357 500 | × | 1 5 | + | 2381 500 | × | 3 10 | ÷ | ( | 2381 500 | − | x | ) | × | ( | 5357 500 | − | x | ) | + | 1571 1000 | × | 1 10 | ÷ | ( | 1571 1000 | − | x | ) | × | ( | 5357 500 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | = | 0 |
5357 500 | × | 1 5 | + | 2381 500 | × | 3 10 | ÷ | ( | 2381 500 | − | x | ) | × | 5357 500 | − | 2381 500 | × | 3 10 | ÷ | ( | 2381 500 | − | x | ) | × | x | + | 1571 1000 | × | 1 10 | = | 0 |
5357 2500 | + | 38265051 2500000 | ÷ | ( | 2381 500 | − | x | ) | − | 7143 5000 | ÷ | ( | 2381 500 | − | x | ) | × | x | + | 1571 10000 | ÷ | ( | 1571 1000 | − | x | ) | × | ( | 5357 500 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | × | ( | 5357 500 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 2381 500 | − | x | ) |
5357 2500 | ( | 2381 500 | − | x | ) | + | 38265051 2500000 | − | 7143 5000 | x | + | 1571 10000 | ÷ | ( | 1571 1000 | − | x | ) | × | ( | 5357 500 | − | x | ) | ( | 2381 500 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | × | ( | 5357 500 | − | x | ) | = | 0 |
5357 2500 | × | 2381 500 | − | 5357 2500 | x | + | 38265051 2500000 | − | 7143 5000 | x | + | 1571 10000 | ÷ | ( | 1571 1000 | − | x | ) | × | ( | 5357 500 | − | x | ) | ( | 2381 500 | − | x | ) | + | 2 5 | = | 0 |
12755017 1250000 | − | 5357 2500 | x | + | 38265051 2500000 | − | 7143 5000 | x | + | 1571 10000 | ÷ | ( | 1571 1000 | − | x | ) | × | ( | 5357 500 | − | x | ) | ( | 2381 500 | − | x | ) | + | 2 5 | ÷ | ( | 1 | − | x | ) | = | 0 |
The solution of the equation:
x1≈1.317093 , keep 6 decimal places
x2≈2.002092 , keep 6 decimal places
x3≈7.362487 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》