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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-14.4）/14.4 = （16.57-x）/16.57 .
Question type: Equation
Solution:Original question:
| ( | x | − | 72 5 | ) | ÷ | 72 5 | = | ( | 1657 100 | − | x | ) | ÷ | 1657 100 |
| Left side of the equation = | x | × | 5 72 | − | 72 5 | × | 5 72 |
| = | x | × | 5 72 | − | 1 |
5 72 | x | − | 1 | = | ( | 1657 100 | − | x | ) | ÷ | 1657 100 |
| Right side of the equation = | 1657 100 | × | 100 1657 | − | x | × | 100 1657 |
| = | 1657 1657 | − | x | × | 100 1657 |
5 72 | x | − | 1 | = | 1657 1657 | − | 100 1657 | x |
Transposition :
5 72 | x | + | 100 1657 | x | = | 1657 1657 | + | 1 |
Combine the items on the left of the equation:
15485 119304 | x | = | 1657 1657 | + | 1 |
Combine the items on the right of the equation:
15485 119304 | x | = | 3314 1657 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3314 1657 | ÷ | 15485 119304 |
| = | 3314 1657 | × | 119304 15485 |
We obtained :
| x | = | 395373456 25658645 |
By reducing fraction, we can get:
| x | = | 238608 15485 |
Convert the result to decimal form :
| x | = | 15.408976 |