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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 （0.7178/(1.8889-x))+(0.15/(1-x))+(0.21/(0.7778-x))+(0.0844/(0.4222-x)) = 0.75 .
Question type: Equation
Solution:Original question:
| ( | 3589 5000 | ÷ | ( | 18889 10000 | - | x | ) | ) | + | ( | 3 20 | ÷ | ( | 1 | - | x | ) | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | = | 3 4 |
3589 5000 | ÷ | ( | 18889 10000 | - | x | ) | + | ( | 3 20 | ÷ | ( | 1 | - | x | ) | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | = | 3 4 |
| Multiply both sides of the equation by: | ( | 18889 10000 | - | x | ) |
3589 5000 | + | ( | 3 20 | ÷ | ( | 1 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | = | 3 4 | ( | 18889 10000 | - | x | ) |
3589 5000 | + | 3 20 | ÷ | ( | 1 | - | x | ) | × | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | = | 3 4 | ( | 18889 10000 | - | x | ) |
3589 5000 | + | 3 20 | ÷ | ( | 1 | - | x | ) | × | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | = | 3 4 | × | 18889 10000 | - | 3 4 | x |
3589 5000 | + | 3 20 | ÷ | ( | 1 | - | x | ) | × | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | = | 56667 40000 | - | 3 4 | x |
| Multiply both sides of the equation by: | ( | 1 | - | x | ) |
3589 5000 | ( | 1 | - | x | ) | + | 3 20 | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | ( | 1 | - | x | ) | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | × | 1 | - | 3589 5000 | x | + | 3 20 | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | ( | 1 | - | x | ) | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | × | 1 | - | 3589 5000 | x | + | 3 20 | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | × | 1 | - | 56667 40000 | x | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | - | 3589 5000 | x | + | 3 20 | ( | 18889 10000 | - | x | ) | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 56667 40000 | x | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | - | 3589 5000 | x | + | 3 20 | × | 18889 10000 | - | 3 20 | x | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 56667 40000 | x | - | 3 4 | x | ( | 1 | - | x | ) |
3589 5000 | - | 3589 5000 | x | + | 3 20 | × | 18889 10000 | - | 3 20 | x | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 56667 40000 | x | - | 3 4 | x | × | 1 | + | 3 4 | x | x |
3589 5000 | - | 3589 5000 | x | + | 56667 200000 | - | 3 20 | x | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 56667 40000 | x | - | 3 4 | x | + | 3 4 | x | x |
200227 200000 | - | 4339 5000 | x | + | ( | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 86667 40000 | x | + | 3 4 | x | x |
200227 200000 | - | 4339 5000 | x | + | 21 100 | ÷ | ( | 3889 5000 | - | x | ) | × | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | = | 56667 40000 | - | 86667 40000 | x | + | 3 4 | x | x |
| Multiply both sides of the equation by: | ( | 3889 5000 | - | x | ) |
200227 200000 | ( | 3889 5000 | - | x | ) | - | 4339 5000 | x | ( | 3889 5000 | - | x | ) | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 56667 40000 | ( | 3889 5000 | - | x | ) | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
200227 200000 | × | 3889 5000 | - | 200227 200000 | x | - | 4339 5000 | x | ( | 3889 5000 | - | x | ) | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 56667 40000 | ( | 3889 5000 | - | x | ) | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
200227 200000 | × | 3889 5000 | - | 200227 200000 | x | - | 4339 5000 | x | ( | 3889 5000 | - | x | ) | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 56667 40000 | × | 3889 5000 | - | 56667 40000 | x | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
778682803 1000000000 | - | 200227 200000 | x | - | 4339 5000 | x | ( | 3889 5000 | - | x | ) | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 220377963 200000000 | - | 56667 40000 | x | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
778682803 1000000000 | - | 200227 200000 | x | - | 4339 5000 | x | × | 3889 5000 | + | 4339 5000 | x | x | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 220377963 200000000 | - | 56667 40000 | x | - | 86667 40000 | x | ( | 3889 5000 | - | x | ) | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
778682803 1000000000 | - | 200227 200000 | x | - | 4339 5000 | x | × | 3889 5000 | + | 4339 5000 | x | x | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 220377963 200000000 | - | 56667 40000 | x | - | 86667 40000 | x | × | 3889 5000 | + | 86667 40000 | x | x | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
778682803 1000000000 | - | 200227 200000 | x | - | 16874371 25000000 | x | + | 4339 5000 | x | x | + | 21 100 | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | + | ( | 211 2500 | ÷ | ( | 2111 5000 | - | x | ) | ) | ( | 18889 10000 | - | x | ) | ( | 1 | - | x | ) | ( | 3889 5000 | - | x | ) | = | 220377963 200000000 | - | 56667 40000 | x | - | 337047963 200000000 | x | + | 86667 40000 | x | x | + | 3 4 | x | x | ( | 3889 5000 | - | x | ) |
The solution of the equation:
x1≈-0.308703 , keep 6 decimal places
x2≈0.517097 , keep 6 decimal places
x3≈0.913479 , keep 6 decimal places
x4≈1.417428 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》