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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) = 55.2 .
Question type: Equation
Solution:Original question:
| 100 | x | × | 5566 25 | ÷ | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) | = | 276 5 |
| Multiply both sides of the equation by: | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 276 5 | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 276 5 | x | × | 5566 25 | + | 276 5 | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 |
| 22264 | x | = | 1536216 125 | x | + | 2312673 250 | ( | 1 | − | x | ) |
| 22264 | x | = | 1536216 125 | x | + | 2312673 250 | × | 1 | − | 2312673 250 | x |
| 22264 | x | = | 1536216 125 | x | + | 2312673 250 | − | 2312673 250 | x |
| 22264 | x | = | 759759 250 | x | + | 2312673 250 |
Transposition :
| 22264 | x | − | 759759 250 | x | = | 2312673 250 |
Combine the items on the left of the equation:
4806241 250 | x | = | 2312673 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2312673 250 | ÷ | 4806241 250 |
| = | 2312673 250 | × | 250 4806241 |
| = | 831 | × | 1 1727 |
We obtained :
| x | = | 831 1727 |
Convert the result to decimal form :
| x | = | 0.481181 |