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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 x*(417.52-83.96) = (4-x)*(2449.38-417.52) .
Question type: Equation
Solution:Original question:
| x | ( | 10438 25 | − | 2099 25 | ) | = | ( | 4 | − | x | ) | ( | 122469 50 | − | 10438 25 | ) |
| Left side of the equation = | x | × | 10438 25 | − | x | × | 2099 25 |
| = | 8339 25 | x |
8339 25 | x | = | ( | 4 | − | x | ) | ( | 122469 50 | − | 10438 25 | ) |
| Right side of the equation = | 4 | ( | 122469 50 | − | 10438 25 | ) | − | x | ( | 122469 50 | − | 10438 25 | ) |
| = | 4 | × | 122469 50 | − | 4 | × | 10438 25 | − | x | ( | 122469 50 | − | 10438 25 | ) |
| = | 244938 25 | − | 41752 25 | − | x | ( | 122469 50 | − | 10438 25 | ) |
| = | 203186 25 | − | x | ( | 122469 50 | − | 10438 25 | ) |
| = | 203186 25 | − | x | × | 122469 50 | + | x | × | 10438 25 |
| = | 203186 25 | − | 101593 50 | x |
8339 25 | x | = | 203186 25 | − | 101593 50 | x |
Transposition :
8339 25 | x | + | 101593 50 | x | = | 203186 25 |
Combine the items on the left of the equation:
118271 50 | x | = | 203186 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 203186 25 | ÷ | 118271 50 |
| = | 203186 25 | × | 50 118271 |
| = | 203186 | × | 2 118271 |
We obtained :
| x | = | 406372 118271 |
Convert the result to decimal form :
| x | = | 3.435939 |