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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 100*x*222.64/(x*222.64+(1-x)*0.5*335.17) = 92.383 .
Question type: Equation
Solution:Original question:
| 100 | x | × | 5566 25 | ÷ | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) | = | 92383 1000 |
| Multiply both sides of the equation by: | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 92383 1000 | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 92383 1000 | x | × | 5566 25 | + | 92383 1000 | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 |
| 22264 | x | = | 257101889 12500 | x | + | 3096401011 200000 | ( | 1 | − | x | ) |
| 22264 | x | = | 257101889 12500 | x | + | 3096401011 200000 | × | 1 | − | 3096401011 200000 | x |
| 22264 | x | = | 257101889 12500 | x | + | 3096401011 200000 | − | 3096401011 200000 | x |
The solution of the equation:
x1≈-3.043956 , keep 6 decimal places
x2≈0.901277 , keep 6 decimal places
There are 2 solution(s).
解程的详细方法请参阅：《方程的解法》