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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) = 92.560 .
Question type: Equation
Solution:Original question:
| 100 | x | × | 5566 25 | ÷ | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) | = | 2314 25 |
| Multiply both sides of the equation by: | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 2314 25 | ( | x | × | 5566 25 | + | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 | ) |
| 100 | x | × | 5566 25 | = | 2314 25 | x | × | 5566 25 | + | 2314 25 | ( | 1 | − | x | ) | × | 1 2 | × | 33517 100 |
| 22264 | x | = | 12879724 625 | x | + | 38779169 2500 | ( | 1 | − | x | ) |
| 22264 | x | = | 12879724 625 | x | + | 38779169 2500 | × | 1 | − | 38779169 2500 | x |
| 22264 | x | = | 12879724 625 | x | + | 38779169 2500 | − | 38779169 2500 | x |
| 22264 | x | = | 12739727 2500 | x | + | 38779169 2500 |
Transposition :
| 22264 | x | − | 12739727 2500 | x | = | 38779169 2500 |
Combine the items on the left of the equation:
42920273 2500 | x | = | 38779169 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 38779169 2500 | ÷ | 42920273 2500 |
| = | 38779169 2500 | × | 2500 42920273 |
| = | 320489 | × | 1 354713 |
We obtained :
| x | = | 320489 354713 |
Convert the result to decimal form :
| x | = | 0.903516 |