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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 900 = 5*（1/x+1/0.2329）/（0.2329-x）+0.68/（0.05424241*（0.2329-x））+0.12/（x*x*（0.2329-x））+1.36/（0.2329*（0.2329-x）*（0.2329-x））-0.4/（x*（0.2329-x）*（0.2329-x）） .
Question type: Equation
Solution:Original question:
| 900 | = | 5 | ( | 1 | ÷ | x | + | 1 | ÷ | 2329 10000 | ) | ÷ | ( | 2329 10000 | − | x | ) | + | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | + | 3 25 | ÷ | ( | x | x | ( | 2329 10000 | − | x | ) | ) | + | 34 25 | ÷ | ( | 2329 10000 | ( | 2329 10000 | − | x | ) | ( | 2329 10000 | − | x | ) | ) | − | 2 5 | ÷ | ( | x | ( | 2329 10000 | − | x | ) | ( | 2329 10000 | − | x | ) | ) |
| Multiply both sides of the equation by: | ( | 2329 10000 | − | x | ) |
| 900 | ( | 2329 10000 | − | x | ) | = | 5 | ( | 1 | ÷ | x | + | 1 | ÷ | 2329 10000 | ) | + | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | + | 3 25 | ÷ | ( | x | x | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | + | 34 25 | ÷ | ( | 2329 10000 | ( | 2329 10000 | − | x | ) | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | − | 2 5 |
| 900 | × | 2329 10000 | − | 900 | x | = | 5 | ( | 1 | ÷ | x | + | 1 | ÷ | 2329 10000 | ) | + | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | + | 3 25 | ÷ | ( | x | x | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | + | 34 25 | ÷ | ( | 2329 10000 | ( | 2329 10000 | − | x | ) | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | − | 2 5 |
| 900 | × | 2329 10000 | − | 900 | x | = | 5 | × | 1 | ÷ | x | + | 5 | × | 1 | ÷ | 2329 10000 | + | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | + | 3 25 | ÷ | ( | x | x | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) |
20961 100 | − | 900 | x | = | 5 | ÷ | x | + | 50000 2329 | + | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | + | 3 25 | ÷ | ( | x | x | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | + | 34 25 | ÷ | ( | 2329 10000 | ( | 2329 10000 | − | x | ) | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) |
| Multiply both sides of the equation by: | x |
20961 100 | x | − | 900 | x | x | = | 5 | + | 50000 2329 | x | + | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | x | + | 3 25 | ÷ | ( | x | x | ( | 2329 10000 | − | x | ) | ) | × | ( | 2329 10000 | − | x | ) | x | + | 34 25 |
20961 100 | x | − | 900 | x | x | = | 5 | + | 50000 2329 | x | + | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | 2329 10000 | x | − | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | x | x | + | 3 25 |
20961 100 | x | − | 900 | x | x | = | 5 | + | 50000 2329 | x | + | 39593 250000 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | x | − | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | x | x | + | 3 25 | ÷ | ( | x | x | ( | 2329 10000 | − | x | ) | ) |
| Multiply both sides of the equation by: | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) |
20961 100 | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | − | 900 | x | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | = | 5 | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | + | 50000 2329 | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | + | 39593 250000 | x | − | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | x | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) |
20961 100 | x | × | 5424241 100000000 | ( | 2329 10000 | − | x | ) | − | 900 | x | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | = | 5 | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | + | 50000 2329 | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | + | 39593 250000 | x | − | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | x | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) |
20961 100 | x | × | 5424241 100000000 | ( | 2329 10000 | − | x | ) | − | 900 | x | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | = | 5 | × | 5424241 100000000 | ( | 2329 10000 | − | x | ) | + | 50000 2329 | x | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | + | 39593 250000 | x | − | 17 25 | ÷ | ( | 5424241 100000000 | ( | 2329 10000 | − | x | ) | ) | × | x | x |
The solution of the equation:
x1≈-0.018409 , keep 6 decimal places
x2≈0.052808 , keep 6 decimal places
x3≈0.114398 , keep 6 decimal places
x4≈0.279220 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》