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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 1.364/(6.82-x)+0.9/(3-x)+0.35/(1-x)+0.096/(0.64-x) = 0 .
Question type: Equation
Solution:Original question:
341 250 | ÷ | ( | 341 50 | − | x | ) | + | 9 10 | ÷ | ( | 3 | − | x | ) | + | 7 20 | ÷ | ( | 1 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 341 50 | − | x | ) |
341 250 | + | 9 10 | ÷ | ( | 3 | − | x | ) | × | ( | 341 50 | − | x | ) | + | 7 20 | ÷ | ( | 1 | − | x | ) | × | ( | 341 50 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | × | ( | 341 50 | − | x | ) | = | 0 |
341 250 | + | 9 10 | ÷ | ( | 3 | − | x | ) | × | 341 50 | − | 9 10 | ÷ | ( | 3 | − | x | ) | × | x | + | 7 20 | ÷ | ( | 1 | − | x | ) | × | ( | 341 50 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | = | 0 |
341 250 | + | 3069 500 | ÷ | ( | 3 | − | x | ) | − | 9 10 | ÷ | ( | 3 | − | x | ) | × | x | + | 7 20 | ÷ | ( | 1 | − | x | ) | × | ( | 341 50 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | × | ( | 341 50 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 3 | − | x | ) |
341 250 | ( | 3 | − | x | ) | + | 3069 500 | − | 9 10 | x | + | 7 20 | ÷ | ( | 1 | − | x | ) | × | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | × | ( | 341 50 | − | x | ) | = | 0 |
341 250 | × | 3 | − | 341 250 | x | + | 3069 500 | − | 9 10 | x | + | 7 20 | ÷ | ( | 1 | − | x | ) | × | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | + | 12 125 | = | 0 |
1023 250 | − | 341 250 | x | + | 3069 500 | − | 9 10 | x | + | 7 20 | ÷ | ( | 1 | − | x | ) | × | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | = | 0 |
1023 100 | − | 283 125 | x | + | 7 20 | ÷ | ( | 1 | − | x | ) | × | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | × | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
1023 100 | ( | 1 | − | x | ) | − | 283 125 | x | ( | 1 | − | x | ) | + | 7 20 | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | × | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | = | 0 |
1023 100 | × | 1 | − | 1023 100 | x | − | 283 125 | x | ( | 1 | − | x | ) | + | 7 20 | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | = | 0 |
1023 100 | − | 1023 100 | x | − | 283 125 | x | ( | 1 | − | x | ) | + | 7 20 | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | + | 12 125 | ÷ | ( | 16 25 | − | x | ) | × | ( | 341 50 | − | x | ) | = | 0 |
| Multiply both sides of the equation by: | ( | 16 25 | − | x | ) |
1023 100 | ( | 16 25 | − | x | ) | − | 1023 100 | x | ( | 16 25 | − | x | ) | − | 283 125 | x | ( | 1 | − | x | ) | ( | 16 25 | − | x | ) | + | 7 20 | ( | 341 50 | − | x | ) | ( | 3 | − | x | ) | = | 0 |
1023 100 | × | 16 25 | − | 1023 100 | x | − | 1023 100 | x | ( | 16 25 | − | x | ) | − | 283 125 | x | ( | 1 | − | x | ) | ( | 16 25 | − | x | ) | + | 7 20 | = | 0 |
4092 625 | − | 1023 100 | x | − | 1023 100 | x | ( | 16 25 | − | x | ) | − | 283 125 | x | ( | 1 | − | x | ) | ( | 16 25 | − | x | ) | + | 7 20 | ( | 341 50 | − | x | ) | = | 0 |
4092 625 | − | 1023 100 | x | − | 1023 100 | x | × | 16 25 | + | 1023 100 | x | x | − | 283 125 | x | ( | 1 | − | x | ) | = | 0 |
4092 625 | − | 1023 100 | x | − | 4092 625 | x | + | 1023 100 | x | x | − | 283 125 | x | ( | 1 | − | x | ) | ( | 16 25 | − | x | ) | = | 0 |
4092 625 | − | 41943 2500 | x | + | 1023 100 | x | x | − | 283 125 | x | ( | 1 | − | x | ) | ( | 16 25 | − | x | ) | + | 7 20 | ( | 341 50 | − | x | ) | = | 0 |
4092 625 | − | 41943 2500 | x | + | 1023 100 | x | x | − | 283 125 | x | × | 1 | ( | 16 25 | − | x | ) | + | 283 125 | x | = | 0 |
4092 625 | − | 41943 2500 | x | + | 1023 100 | x | x | − | 283 125 | x | ( | 16 25 | − | x | ) | + | 283 125 | x | x | = | 0 |
4092 625 | − | 41943 2500 | x | + | 1023 100 | x | x | − | 283 125 | x | × | 16 25 | + | 283 125 | x | x | = | 0 |
4092 625 | − | 41943 2500 | x | + | 1023 100 | x | x | − | 4528 3125 | x | + | 283 125 | x | x | + | 283 125 | = | 0 |
4092 625 | − | 227827 12500 | x | + | 1023 100 | x | x | + | 283 125 | x | x | + | 283 125 | x | x | = | 0 |
The solution of the equation:
x1≈0.694576 , keep 6 decimal places
x2≈1.478054 , keep 6 decimal places
x3≈4.706588 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》