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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 8x-24/25x-40 = 1/4 .
Question type: Equation
Solution:Original question:
| 8 | x | − | 24 | ÷ | 25 | × | x | − | 40 | = | 1 | ÷ | 4 |
| Left side of the equation = | 8 | x | − | 24 25 | x | − | 40 |
| = | 176 25 | x | − | 40 |
176 25 | x | − | 40 | = | 1 | ÷ | 4 |
| Right side of the equation = | 1 4 |
176 25 | x | − | 40 | = | 1 4 |
Transposition :
176 25 | x | = | 1 4 | + | 40 |
Combine the items on the right of the equation:
176 25 | x | = | 161 4 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 161 4 | ÷ | 176 25 |
| = | 161 4 | × | 25 176 |
We obtained :
| x | = | 4025 704 |
Convert the result to decimal form :
| x | = | 5.71733 |