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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 (5.65*0.267)/(5.65-x)+(2.41*0.406)/(2.41-x)+(1*0.327)/(1-x) = 0.85 .
Question type: Equation
Solution:Original question:
| ( | 113 20 | × | 267 1000 | ) | ÷ | ( | 113 20 | − | x | ) | + | ( | 241 100 | × | 203 500 | ) | ÷ | ( | 241 100 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | = | 17 20 |
| Multiply both sides of the equation by: | ( | 113 20 | − | x | ) |
| ( | 113 20 | × | 267 1000 | ) | + | ( | 241 100 | × | 203 500 | ) | ÷ | ( | 241 100 | − | x | ) | × | ( | 113 20 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 113 20 | − | x | ) | = | 17 20 | ( | 113 20 | − | x | ) |
113 20 | × | 267 1000 | + | ( | 241 100 | × | 203 500 | ) | ÷ | ( | 241 100 | − | x | ) | × | ( | 113 20 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 113 20 | − | x | ) | = | 17 20 | ( | 113 20 | − | x | ) |
113 20 | × | 267 1000 | + | ( | 241 100 | × | 203 500 | ) | ÷ | ( | 241 100 | − | x | ) | × | ( | 113 20 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 113 20 | − | x | ) | = | 17 20 | × | 113 20 | − | 17 20 | x |
30171 20000 | + | ( | 241 100 | × | 203 500 | ) | ÷ | ( | 241 100 | − | x | ) | × | ( | 113 20 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 113 20 | − | x | ) | = | 1921 400 | − | 17 20 | x |
| Multiply both sides of the equation by: | ( | 241 100 | − | x | ) |
30171 20000 | ( | 241 100 | − | x | ) | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 113 20 | − | x | ) | ( | 241 100 | − | x | ) | = | 1921 400 | ( | 241 100 | − | x | ) | − | 17 20 | x | ( | 241 100 | − | x | ) |
30171 20000 | × | 241 100 | − | 30171 20000 | x | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 113 20 | − | x | ) | ( | 241 100 | − | x | ) | = | 1921 400 | ( | 241 100 | − | x | ) | − | 17 20 | x | ( | 241 100 | − | x | ) |
30171 20000 | × | 241 100 | − | 30171 20000 | x | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 113 20 | − | x | ) | ( | 241 100 | − | x | ) | = | 1921 400 | × | 241 100 | − | 1921 400 | x | − | 17 20 | x | ( | 241 100 | − | x | ) |
7271211 2000000 | − | 30171 20000 | x | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ÷ | ( | 1 | − | x | ) | × | ( | 113 20 | − | x | ) | ( | 241 100 | − | x | ) | = | 462961 40000 | − | 1921 400 | x | − | 17 20 | x | ( | 241 100 | − | x | ) |
| Multiply both sides of the equation by: | ( | 1 | − | x | ) |
7271211 2000000 | ( | 1 | − | x | ) | − | 30171 20000 | x | ( | 1 | − | x | ) | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | ( | 1 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ( | 113 20 | − | x | ) | ( | 241 100 | − | x | ) | = | 462961 40000 | ( | 1 | − | x | ) | − | 1921 400 | x | ( | 1 | − | x | ) | − | 17 20 | x | ( | 241 100 | − | x | ) | ( | 1 | − | x | ) |
7271211 2000000 | × | 1 | − | 7271211 2000000 | x | − | 30171 20000 | x | ( | 1 | − | x | ) | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | ( | 1 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ( | 113 20 | − | x | ) | = | 462961 40000 | ( | 1 | − | x | ) | − | 1921 400 | x | ( | 1 | − | x | ) | − | 17 20 | x | ( | 241 100 | − | x | ) | ( | 1 | − | x | ) |
7271211 2000000 | × | 1 | − | 7271211 2000000 | x | − | 30171 20000 | x | ( | 1 | − | x | ) | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | ( | 1 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ( | 113 20 | − | x | ) | = | 462961 40000 | × | 1 | − | 462961 40000 | x | − | 1921 400 | x | ( | 1 | − | x | ) | − | 17 20 | x | ( | 241 100 | − | x | ) | ( | 1 | − | x | ) |
7271211 2000000 | − | 7271211 2000000 | x | − | 30171 20000 | x | ( | 1 | − | x | ) | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | ( | 1 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | ( | 113 20 | − | x | ) | ( | 241 100 | − | x | ) | = | 462961 40000 | − | 462961 40000 | x | − | 1921 400 | x | ( | 1 | − | x | ) | − | 17 20 | x | ( | 241 100 | − | x | ) | ( | 1 | − | x | ) |
7271211 2000000 | − | 7271211 2000000 | x | − | 30171 20000 | x | × | 1 | + | 30171 20000 | x | x | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | ( | 1 | − | x | ) | = | 462961 40000 | − | 462961 40000 | x | − | 1921 400 | x | ( | 1 | − | x | ) | − | 17 20 | x | ( | 241 100 | − | x | ) | ( | 1 | − | x | ) |
7271211 2000000 | − | 7271211 2000000 | x | − | 30171 20000 | x | × | 1 | + | 30171 20000 | x | x | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | ( | 1 | − | x | ) | = | 462961 40000 | − | 462961 40000 | x | − | 1921 400 | x | × | 1 | + | 1921 400 | x | x | − | 17 20 | x | ( | 241 100 | − | x | ) |
7271211 2000000 | − | 7271211 2000000 | x | − | 30171 20000 | x | + | 30171 20000 | x | x | + | ( | 241 100 | × | 203 500 | ) | ( | 113 20 | − | x | ) | ( | 1 | − | x | ) | + | ( | 1 | × | 327 1000 | ) | = | 462961 40000 | − | 462961 40000 | x | − | 1921 400 | x | + | 1921 400 | x | x | − | 17 20 | x | ( | 241 100 | − | x | ) | ( | 1 | − | x | ) |
The solution of the equation:
x1≈-0.344759 , keep 6 decimal places
x2≈1.525612 , keep 6 decimal places
x3≈4.568547 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》