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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 (0.22*x+24385.5)/(27954.2-0.96*x) = (0.42*x+1998.8)/(0.91x-2182.4) .
Question type: Equation
Solution:Original question:
| ( | 11 50 | x | + | 48771 2 | ) | ÷ | ( | 139771 5 | − | 24 25 | x | ) | = | ( | 21 50 | x | + | 9994 5 | ) | ÷ | ( | 91 100 | x | − | 10912 5 | ) |
| Multiply both sides of the equation by: | ( | 139771 5 | − | 24 25 | x | ) | , | ( | 91 100 | x | − | 10912 5 | ) |
| ( | 11 50 | x | + | 48771 2 | ) | ( | 91 100 | x | − | 10912 5 | ) | = | ( | 21 50 | x | + | 9994 5 | ) | ( | 139771 5 | − | 24 25 | x | ) |
11 50 | x | ( | 91 100 | x | − | 10912 5 | ) | + | 48771 2 | ( | 91 100 | x | − | 10912 5 | ) | = | ( | 21 50 | x | + | 9994 5 | ) | ( | 139771 5 | − | 24 25 | x | ) |
11 50 | x | ( | 91 100 | x | − | 10912 5 | ) | + | 48771 2 | ( | 91 100 | x | − | 10912 5 | ) | = | 21 50 | x | ( | 139771 5 | − | 24 25 | x | ) | + | 9994 5 | ( | 139771 5 | − | 24 25 | x | ) |
11 50 | x | × | 91 100 | x | − | 11 50 | x | × | 10912 5 | + | 48771 2 | ( | 91 100 | x | − | 10912 5 | ) | = | 21 50 | x | ( | 139771 5 | − | 24 25 | x | ) | + | 9994 5 | ( | 139771 5 | − | 24 25 | x | ) |
11 50 | x | × | 91 100 | x | − | 11 50 | x | × | 10912 5 | + | 48771 2 | ( | 91 100 | x | − | 10912 5 | ) | = | 21 50 | x | × | 139771 5 | − | 21 50 | x | × | 24 25 | x | + | 9994 5 | ( | 139771 5 | − | 24 25 | x | ) |
1001 5000 | x | x | − | 60016 125 | x | + | 48771 2 | ( | 91 100 | x | − | 10912 5 | ) | = | 2935191 250 | x | − | 252 625 | x | x | + | 9994 5 | ( | 139771 5 | − | 24 25 | x | ) |
1001 5000 | x | x | − | 60016 125 | x | + | 48771 2 | × | 91 100 | x | − | 48771 2 | × | 10912 5 | = | 2935191 250 | x | − | 252 625 | x | x | + | 9994 5 | ( | 139771 5 | − | 24 25 | x | ) |
1001 5000 | x | x | − | 60016 125 | x | + | 48771 2 | × | 91 100 | x | − | 48771 2 | × | 10912 5 | = | 2935191 250 | x | − | 252 625 | x | x | + | 9994 5 | × | 139771 5 | − | 9994 5 | × | 24 25 | x |
1001 5000 | x | x | − | 60016 125 | x | + | 4438161 200 | x | − | 266094576 5 | = | 2935191 250 | x | − | 252 625 | x | x | + | 1396871374 25 | − | 239856 125 | x |
1001 5000 | x | x | + | 21710677 1000 | x | − | 266094576 5 | = | 2455479 250 | x | − | 252 625 | x | x | + | 1396871374 25 |
x≈2398.241758 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》