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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 （7x-467.56）*（1+0.25）+183.36 = 260 .
Question type: Equation
Solution:Original question:
| ( | 7 | x | − | 11689 25 | ) | ( | 1 | + | 1 4 | ) | + | 4584 25 | = | 260 |
| Left side of the equation = | 7 | x | ( | 1 | + | 1 4 | ) | − | 11689 25 | ( | 1 | + | 1 4 | ) | + | 4584 25 |
| = | 7 | x | × | 1 | + | 7 | x | × | 1 4 | − | 11689 25 | ( | 1 | + | 1 4 | ) | + | 4584 25 |
| = | 7 | x | + | 7 4 | x | − | 11689 25 | ( | 1 | + | 1 4 | ) | + | 4584 25 |
| = | 35 4 | x | − | 11689 25 | ( | 1 | + | 1 4 | ) | + | 4584 25 |
| = | 35 4 | x | − | 11689 25 | × | 1 | − | 11689 25 | × | 1 4 | + | 4584 25 |
| = | 35 4 | x | − | 11689 25 | − | 11689 100 | + | 4584 25 |
| = | 35 4 | x | − | 40109 100 |
35 4 | x | − | 40109 100 | = | 260 |
Transposition :
35 4 | x | = | 260 | + | 40109 100 |
Combine the items on the right of the equation:
35 4 | x | = | 66109 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 66109 100 | ÷ | 35 4 |
| = | 66109 100 | × | 4 35 |
| = | 66109 25 | × | 1 35 |
We obtained :
| x | = | 66109 875 |
Convert the result to decimal form :
| x | = | 75.553143 |