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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 = (0.8*249.96+0.2X)*0.96 .
Question type: Equation
Solution:Original question:
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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 X = (0.8*249.96+0.2X)*0.96 .
Question type: Equation
Solution:Original question:
| X | = | ( | 4 5 | × | 6249 25 | + | 1 5 | X | ) | × | 24 25 |
| Right side of the equation = | 4 5 | × | 6249 25 | × | 24 25 | + | 1 5 | X | × | 24 25 |
| = | 599904 3125 | + | 24 125 | X |
| X | = | 599904 3125 | + | 24 125 | X |
Transposition :
| X | − | 24 125 | X | = | 599904 3125 |
Combine the items on the left of the equation:
101 125 | X | = | 599904 3125 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 599904 3125 | ÷ | 101 125 |
| = | 599904 3125 | × | 125 101 |
| = | 599904 25 | × | 1 101 |
We obtained :
| X | = | 599904 2525 |
Convert the result to decimal form :
| X | = | 237.585743 |