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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 (4.984-5.185+0.203*x)/(5.185-0.203*x) = ((0.018*x-0.424)*(3.21979-3.189+0.07729*x))/((0.788+0.009*x)*(3.189-0.07729*x)) .
Question type: Equation
Solution:Original question:
| ( | 623 125 | − | 1037 200 | + | 203 1000 | x | ) | ÷ | ( | 1037 200 | − | 203 1000 | x | ) | = | ( | ( | 9 500 | x | − | 53 125 | ) | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ) | ÷ | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) |
| Multiply both sides of the equation by: | ( | 1037 200 | − | 203 1000 | x | ) | , | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) |
| ( | 623 125 | − | 1037 200 | + | 203 1000 | x | ) | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | = | ( | ( | 9 500 | x | − | 53 125 | ) | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ) | ( | 1037 200 | − | 203 1000 | x | ) |
623 125 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | = | ( | ( | 9 500 | x | − | 53 125 | ) | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ) | ( | 1037 200 | − | 203 1000 | x | ) |
623 125 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | = | ( | 9 500 | x | − | 53 125 | ) | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ( | 1037 200 | − | 203 1000 | x | ) |
623 125 | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | = | ( | 9 500 | x | − | 53 125 | ) | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ( | 1037 200 | − | 203 1000 | x | ) |
623 125 | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | = | 9 500 | x | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ( | 1037 200 | − | 203 1000 | x | ) | − | 53 125 | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ( | 1037 200 | − | 203 1000 | x | ) |
623 125 | × | 197 250 | ( | 3189 1000 | − | 7729 100000 | x | ) | + | 623 125 | × | 9 1000 | x | ( | 3189 1000 | − | 7729 100000 | x | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | = | 9 500 | x | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ( | 1037 200 | − | 203 1000 | x | ) | − | 53 125 | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) | ( | 1037 200 | − | 203 1000 | x | ) |
623 125 | × | 197 250 | ( | 3189 1000 | − | 7729 100000 | x | ) | + | 623 125 | × | 9 1000 | x | ( | 3189 1000 | − | 7729 100000 | x | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | = | 9 500 | x | × | 321979 100000 | ( | 1037 200 | − | 203 1000 | x | ) | − | 9 500 | x | × | 3189 1000 | ( | 1037 200 | − | 203 1000 | x | ) | + | 9 500 | x | × | 7729 100000 | x |
122731 31250 | ( | 3189 1000 | − | 7729 100000 | x | ) | + | 5607 125000 | x | ( | 3189 1000 | − | 7729 100000 | x | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | = | 2897811 50000000 | x | ( | 1037 200 | − | 203 1000 | x | ) | − | 28701 500000 | x | ( | 1037 200 | − | 203 1000 | x | ) | + | 69561 50000000 | x | x | ( | 1037 200 | − | 203 1000 | x | ) | − | 53 125 | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) |
122731 31250 | × | 3189 1000 | − | 122731 31250 | × | 7729 100000 | x | + | 5607 125000 | x | ( | 3189 1000 | − | 7729 100000 | x | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | = | 2897811 50000000 | x | ( | 1037 200 | − | 203 1000 | x | ) | − | 28701 500000 | x | ( | 1037 200 | − | 203 1000 | x | ) | + | 69561 50000000 | x | x | ( | 1037 200 | − | 203 1000 | x | ) | − | 53 125 | ( | 321979 100000 | − | 3189 1000 | + | 7729 100000 | x | ) |
122731 31250 | × | 3189 1000 | − | 122731 31250 | × | 7729 100000 | x | + | 5607 125000 | x | ( | 3189 1000 | − | 7729 100000 | x | ) | − | 1037 200 | ( | ( | 197 250 | + | 9 1000 | x | ) | ( | 3189 1000 | − | 7729 100000 | x | ) | ) | + | 203 1000 | x | = | 2897811 50000000 | x | × | 1037 200 | − | 2897811 50000000 | x | × | 203 1000 | x | − | 28701 500000 | x | ( | 1037 200 | − | 203 1000 | x | ) | + | 69561 50000000 | x |
The solution of the equation:
x1≈0.654947 , keep 6 decimal places
x2≈25.541872 , keep 6 decimal places
x3≈41.260189 , keep 6 decimal places
x4≈53.279219 , keep 6 decimal places
x5≈88.769168 , keep 6 decimal places
There are 5 solution(s).
解程的详细方法请参阅：《方程的解法》