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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 (61919-1.1x)*10.4/22.4*0.9 = 8.67x .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (61919-1.1x)*10.4/22.4*0.9 = 8.67x .
Question type: Equation
Solution:Original question:
| ( | 61919 | − | 11 10 | x | ) | × | 52 5 | ÷ | 112 5 | × | 9 10 | = | 867 100 | x |
| Left side of the equation = | ( | 61919 | − | 11 10 | x | ) | × | 117 280 |
| ( | 61919 | − | 11 10 | x | ) | × | 117 280 | = | 867 100 | x |
| Left side of the equation = | 61919 | × | 117 280 | − | 11 10 | x | × | 117 280 |
| = | 7244523 280 | − | 1287 2800 | x |
7244523 280 | − | 1287 2800 | x | = | 867 100 | x |
Transposition :
| - | 1287 2800 | x | − | 867 100 | x | = | - | 7244523 280 |
Combine the items on the left of the equation:
| - | 25563 2800 | x | = | - | 7244523 280 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
7244523 280 | = | 25563 2800 | 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 :
25563 2800 | x | = | 7244523 280 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7244523 280 | ÷ | 25563 2800 |
| = | 7244523 280 | × | 2800 25563 |
| = | 2414841 | × | 10 8521 |
We obtained :
| x | = | 24148410 8521 |
Convert the result to decimal form :
| x | = | 2833.987795 |