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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 1/2*(x/3882.8+3882.8/3011.79）-1 = 0.25 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 2 | × | ( | x | ÷ | 19414 5 | + | 19414 5 | ÷ | 301179 100 | ) | − | 1 | = | 1 4 |
| Left side of the equation = | 1 2 | ( | x | ÷ | 19414 5 | + | 19414 5 | ÷ | 301179 100 | ) | − | 1 |
1 2 | ( | x | ÷ | 19414 5 | + | 19414 5 | ÷ | 301179 100 | ) | − | 1 | = | 1 4 |
| Left side of the equation = | 1 2 | x | ÷ | 19414 5 | + | 1 2 | × | 19414 5 | ÷ | 301179 100 | − | 1 |
| = | 5 38828 | x | + | 194140 301179 | − | 1 |
| = | 5 38828 | x | − | 107039 301179 |
5 38828 | x | − | 107039 301179 | = | 1 4 |
Transposition :
5 38828 | x | = | 1 4 | + | 107039 301179 |
Combine the items on the right of the equation:
5 38828 | x | = | 729335 1204716 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 729335 1204716 | ÷ | 5 38828 |
| = | 729335 1204716 | × | 38828 5 |
| = | 145867 301179 | × | 9707 |
We obtained :
| x | = | 1415930969 301179 |
Convert the result to decimal form :
| x | = | 4701.293812 |