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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) = 47 .
Question type: Equation
Solution:Original question:
| 100 | x | × | 5566 25 | ÷ | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) | = | 47 |
| Multiply both sides of the equation by: | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 47 | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 47 | x | × | 5566 25 | + | 47 | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 |
| 22264 | x | = | 261602 25 | x | + | 1575299 200 | ( | 1 | − | x | ) |
| 22264 | x | = | 261602 25 | x | + | 1575299 200 | × | 1 | − | 1575299 200 | x |
| 22264 | x | = | 261602 25 | x | + | 1575299 200 | − | 1575299 200 | x |
| 22264 | x | = | 517517 200 | x | + | 1575299 200 |
Transposition :
| 22264 | x | − | 517517 200 | x | = | 1575299 200 |
Combine the items on the left of the equation:
3935283 200 | x | = | 1575299 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1575299 200 | ÷ | 3935283 200 |
| = | 1575299 200 | × | 200 3935283 |
| = | 13019 | × | 1 32523 |
We obtained :
| x | = | 13019 32523 |
Convert the result to decimal form :
| x | = | 0.400301 |