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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 = 0.3641 .
Question type: Equation
Solution:Original question:
| ( | ( | 1162 25 | + | 53069 5000 | ) | − | x | ) | ÷ | 1162 25 | = | 3641 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 | = | 3641 10000 |
Transposition :
| - | 25 1162 | x | = | 3641 10000 | − | 285469 232400 |
Combine the items on the right of the equation:
| - | 25 1162 | x | = | - | 627663 726250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
627663 726250 | = | 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 | = | 627663 726250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 627663 726250 | ÷ | 25 1162 |
| = | 627663 726250 | × | 1162 25 |
| = | 627663 625 | × | 1 25 |
We obtained :
| x | = | 627663 15625 |
Convert the result to decimal form :
| x | = | 40.170432 |