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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 4.545*0.4576/(4.545-x)+2.485*0.1190/(2.485-x)+1*0.2557/(1-x)+0.845*0.1678/(0.845-x) = 0.7 .
Question type: Equation
Solution:Original question:
909 200 | × | 286 625 | ÷ | ( | 909 200 | − | x | ) | + | 497 200 | × | 119 1000 | ÷ | ( | 497 200 | − | x | ) | + | 1 | × | 2557 10000 | ÷ | ( | 1 | − | x | ) | + | 169 200 | × | 839 5000 | ÷ | ( | 169 200 | − | x | ) | = | 7 10 |
| Multiply both sides of the equation by: | ( | 909 200 | − | x | ) |
909 200 | × | 286 625 | + | 497 200 | × | 119 1000 | ÷ | ( | 497 200 | − | x | ) | × | ( | 909 200 | − | x | ) | + | 1 | × | 2557 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 909 200 | − | x | ) | + | 169 200 | × | 839 5000 | = | 7 10 | ( | 909 200 | − | x | ) |
909 200 | × | 286 625 | + | 497 200 | × | 119 1000 | ÷ | ( | 497 200 | − | x | ) | × | 909 200 | − | 497 200 | × | 119 1000 | ÷ | ( | 497 200 | − | x | ) | × | x | + | 1 | × | 2557 10000 | = | 7 10 | ( | 909 200 | − | x | ) |
909 200 | × | 286 625 | + | 497 200 | × | 119 1000 | ÷ | ( | 497 200 | − | x | ) | × | 909 200 | − | 497 200 | × | 119 1000 | ÷ | ( | 497 200 | − | x | ) | × | x | + | 1 | × | 2557 10000 | = | 7 10 | × | 909 200 | − | 7 10 | x |
129987 62500 | + | 53760987 40000000 | ÷ | ( | 497 200 | − | x | ) | − | 59143 200000 | ÷ | ( | 497 200 | − | x | ) | × | x | + | 2557 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 909 200 | − | x | ) | + | 141791 1000000 | ÷ | ( | 169 200 | − | x | ) | × | ( | 909 200 | − | x | ) | = | 6363 2000 | − | 7 10 | x |
| Multiply both sides of the equation by: | ( | 497 200 | − | x | ) |
129987 62500 | ( | 497 200 | − | x | ) | + | 53760987 40000000 | − | 59143 200000 | x | + | 2557 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 909 200 | − | x | ) | ( | 497 200 | − | x | ) | + | 141791 1000000 | ÷ | ( | 169 200 | − | x | ) | × | ( | 909 200 | − | x | ) | = | 6363 2000 | ( | 497 200 | − | x | ) | − | 7 10 | x | ( | 497 200 | − | x | ) |
129987 62500 | × | 497 200 | − | 129987 62500 | x | + | 53760987 40000000 | − | 59143 200000 | x | + | 2557 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 909 200 | − | x | ) | ( | 497 200 | − | x | ) | + | 141791 1000000 | = | 6363 2000 | ( | 497 200 | − | x | ) | − | 7 10 | x | ( | 497 200 | − | x | ) |
129987 62500 | × | 497 200 | − | 129987 62500 | x | + | 53760987 40000000 | − | 59143 200000 | x | + | 2557 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 909 200 | − | x | ) | ( | 497 200 | − | x | ) | + | 141791 1000000 | = | 6363 2000 | × | 497 200 | − | 6363 2000 | x | − | 7 10 | x | ( | 497 200 | − | x | ) |
64603539 12500000 | − | 129987 62500 | x | + | 53760987 40000000 | − | 59143 200000 | x | + | 2557 10000 | ÷ | ( | 1 | − | x | ) | × | ( | 909 200 | − | x | ) | ( | 497 200 | − | x | ) | + | 141791 1000000 | ÷ | ( | 169 200 | − | x | ) | = | 3162411 400000 | − | 6363 2000 | x | − | 7 10 | x | ( | 497 200 | − | x | ) |
The solution of the equation:
x1≈-0.832311 , keep 6 decimal places
x2≈0.899505 , keep 6 decimal places
x3≈1.785397 , keep 6 decimal places
x4≈3.060983 , keep 6 decimal places
There are 4 solution(s).
解程的详细方法请参阅：《方程的解法》