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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) = 92.800 .
Question type: Equation
Solution:Original question:
| 100 | x | × | 5566 25 | ÷ | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) | = | 464 5 |
| Multiply both sides of the equation by: | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 464 5 | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 464 5 | x | × | 5566 25 | + | 464 5 | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 |
| 22264 | x | = | 2582624 125 | x | + | 1943986 125 | ( | 1 | − | x | ) |
| 22264 | x | = | 2582624 125 | x | + | 1943986 125 | × | 1 | − | 1943986 125 | x |
| 22264 | x | = | 2582624 125 | x | + | 1943986 125 | − | 1943986 125 | x |
| 22264 | x | = | 638638 125 | x | + | 1943986 125 |
Transposition :
| 22264 | x | − | 638638 125 | x | = | 1943986 125 |
Combine the items on the left of the equation:
2144362 125 | x | = | 1943986 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1943986 125 | ÷ | 2144362 125 |
| = | 1943986 125 | × | 125 2144362 |
| = | 8033 | × | 1 8861 |
We obtained :
| x | = | 8033 8861 |
Convert the result to decimal form :
| x | = | 0.906557 |