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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 {(46.48+10.6138)-x}÷46.48 = 0.3441 .
Question type: Equation
Solution:Original question:
| ( | ( | 1162 25 | + | 53069 5000 | ) | − | x | ) | ÷ | 1162 25 | = | 3441 10000 |
| Left side of the equation = | ( | 1162 25 | + | 53069 5000 | ) | × | 25 1162 | − | x | × | 25 1162 |
| = | 1162 25 | × | 25 1162 | + | 53069 5000 | × | 25 1162 | − | 25 1162 | x |
| = | 1 | + | 53069 232400 | − | 25 1162 | x |
| = | 285469 232400 | − | 25 1162 | x |
285469 232400 | − | 25 1162 | x | = | 3441 10000 |
Transposition :
| - | 25 1162 | x | = | 3441 10000 | − | 285469 232400 |
Combine the items on the right of the equation:
| - | 25 1162 | x | = | - | 321094 363125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
321094 363125 | = | 25 1162 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
25 1162 | x | = | 321094 363125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 321094 363125 | ÷ | 25 1162 |
| = | 321094 363125 | × | 1162 25 |
| = | 321094 51875 | × | 166 25 |
We obtained :
| x | = | 53301604 1296875 |
By reducing fraction, we can get:
| x | = | 642188 15625 |
Convert the result to decimal form :
| x | = | 41.100032 |