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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)*(2449.48-417.52) .
Question type: Equation
Solution:Original question:
| x | ( | 10438 25 | − | 2099 25 | ) | = | ( | 4 | − | x | ) | ( | 61237 25 | − | 10438 25 | ) |
| Left side of the equation = | x | × | 10438 25 | − | x | × | 2099 25 |
| = | 8339 25 | x |
8339 25 | x | = | ( | 4 | − | x | ) | ( | 61237 25 | − | 10438 25 | ) |
| Right side of the equation = | 4 | ( | 61237 25 | − | 10438 25 | ) | − | x | ( | 61237 25 | − | 10438 25 | ) |
| = | 4 | × | 61237 25 | − | 4 | × | 10438 25 | − | x | ( | 61237 25 | − | 10438 25 | ) |
| = | 244948 25 | − | 41752 25 | − | x | ( | 61237 25 | − | 10438 25 | ) |
| = | 203196 25 | − | x | ( | 61237 25 | − | 10438 25 | ) |
| = | 203196 25 | − | x | × | 61237 25 | + | x | × | 10438 25 |
| = | 203196 25 | − | 50799 25 | x |
8339 25 | x | = | 203196 25 | − | 50799 25 | x |
Transposition :
8339 25 | x | + | 50799 25 | x | = | 203196 25 |
Combine the items on the left of the equation:
59138 25 | x | = | 203196 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 203196 25 | ÷ | 59138 25 |
| = | 203196 25 | × | 25 59138 |
| = | 101598 | × | 1 29569 |
We obtained :
| x | = | 101598 29569 |
Convert the result to decimal form :
| x | = | 3.435963 |