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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 0.4438/(3.211-x)+1.0409/(2.535-x)+0.3510/(1-x)+0.0439/(0.414-x) = 0.25 .
Question type: Equation
Solution:Original question:
2219 5000 | ÷ | ( | 3211 1000 | − | x | ) | + | 10409 10000 | ÷ | ( | 507 200 | − | x | ) | + | 351 1000 | ÷ | ( | 1 | − | x | ) | + | 439 10000 | ÷ | ( | 207 500 | − | x | ) | = | 1 4 |
| Multiply both sides of the equation by: | ( | 3211 1000 | − | x | ) |
2219 5000 | + | 10409 10000 | ÷ | ( | 507 200 | − | x | ) | × | ( | 3211 1000 | − | x | ) | + | 351 1000 | ÷ | ( | 1 | − | x | ) | × | ( | 3211 1000 | − | x | ) | + | 439 10000 | ÷ | ( | 207 500 | − | x | ) | × | ( | 3211 1000 | − | x | ) | = | 1 4 | ( | 3211 1000 | − | x | ) |
2219 5000 | + | 10409 10000 | ÷ | ( | 507 200 | − | x | ) | × | 3211 1000 | − | 10409 10000 | ÷ | ( | 507 200 | − | x | ) | × | x | + | 351 1000 | ÷ | ( | 1 | − | x | ) | × | ( | 3211 1000 | − | x | ) | + | 439 10000 | ÷ | ( | 207 500 | − | x | ) | = | 1 4 | ( | 3211 1000 | − | x | ) |
2219 5000 | + | 10409 10000 | ÷ | ( | 507 200 | − | x | ) | × | 3211 1000 | − | 10409 10000 | ÷ | ( | 507 200 | − | x | ) | × | x | + | 351 1000 | ÷ | ( | 1 | − | x | ) | × | ( | 3211 1000 | − | x | ) | + | 439 10000 | ÷ | ( | 207 500 | − | x | ) | = | 1 4 | × | 3211 1000 | − | 1 4 | x |
2219 5000 | + | 33423299 10000000 | ÷ | ( | 507 200 | − | x | ) | − | 10409 10000 | ÷ | ( | 507 200 | − | x | ) | × | x | + | 351 1000 | ÷ | ( | 1 | − | x | ) | × | ( | 3211 1000 | − | x | ) | + | 439 10000 | ÷ | ( | 207 500 | − | x | ) | × | ( | 3211 1000 | − | x | ) | = | 3211 4000 | − | 1 4 | x |
| Multiply both sides of the equation by: | ( | 507 200 | − | x | ) |
2219 5000 | ( | 507 200 | − | x | ) | + | 33423299 10000000 | − | 10409 10000 | x | + | 351 1000 | ÷ | ( | 1 | − | x | ) | × | ( | 3211 1000 | − | x | ) | ( | 507 200 | − | x | ) | + | 439 10000 | ÷ | ( | 207 500 | − | x | ) | × | ( | 3211 1000 | − | x | ) | = | 3211 4000 | ( | 507 200 | − | x | ) | − | 1 4 | x | ( | 507 200 | − | x | ) |
2219 5000 | × | 507 200 | − | 2219 5000 | x | + | 33423299 10000000 | − | 10409 10000 | x | + | 351 1000 | ÷ | ( | 1 | − | x | ) | × | ( | 3211 1000 | − | x | ) | ( | 507 200 | − | x | ) | + | 439 10000 | = | 3211 4000 | ( | 507 200 | − | x | ) | − | 1 4 | x | ( | 507 200 | − | x | ) |
2219 5000 | × | 507 200 | − | 2219 5000 | x | + | 33423299 10000000 | − | 10409 10000 | x | + | 351 1000 | ÷ | ( | 1 | − | x | ) | × | ( | 3211 1000 | − | x | ) | ( | 507 200 | − | x | ) | + | 439 10000 | = | 3211 4000 | × | 507 200 | − | 3211 4000 | x | − | 1 4 | x | ( | 507 200 | − | x | ) |
1125033 1000000 | − | 2219 5000 | x | + | 33423299 10000000 | − | 10409 10000 | x | + | 351 1000 | ÷ | ( | 1 | − | x | ) | × | ( | 3211 1000 | − | x | ) | ( | 507 200 | − | x | ) | + | 439 10000 | ÷ | ( | 207 500 | − | x | ) | = | 1627977 800000 | − | 3211 4000 | x | − | 1 4 | x | ( | 507 200 | − | x | ) |
The solution of the equation:
x1≈-5.252046 , keep 6 decimal places
x2≈1.403117 , keep 6 decimal places
x3≈3.034970 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》