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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) = 93.520 .
Question type: Equation
Solution:Original question:
| 100 | x | × | 5566 25 | ÷ | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) | = | 2338 25 |
| Multiply both sides of the equation by: | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 2338 25 | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 2338 25 | x | × | 5566 25 | + | 2338 25 | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 |
| 22264 | x | = | 13013308 625 | x | + | 39181373 2500 | ( | 1 | − | x | ) |
| 22264 | x | = | 13013308 625 | x | + | 39181373 2500 | × | 1 | − | 39181373 2500 | x |
| 22264 | x | = | 13013308 625 | x | + | 39181373 2500 | − | 39181373 2500 | x |
| 22264 | x | = | 12871859 2500 | x | + | 39181373 2500 |
Transposition :
| 22264 | x | − | 12871859 2500 | x | = | 39181373 2500 |
Combine the items on the left of the equation:
42788141 2500 | x | = | 39181373 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 39181373 2500 | ÷ | 42788141 2500 |
| = | 39181373 2500 | × | 2500 42788141 |
| = | 323813 | × | 1 353621 |
We obtained :
| x | = | 323813 353621 |
Convert the result to decimal form :
| x | = | 0.915706 |