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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 24.2*24.2-16.7*16.7 = 3(480-s-6*24.2) .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right 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 24.2*24.2-16.7*16.7 = 3(480-s-6*24.2) .
Question type: Equation
Solution:Original question:
121 5 | × | 121 5 | − | 167 10 | × | 167 10 | = | 3 | ( | 480 | − | s | − | 6 | × | 121 5 | ) |
| Left side of the equation = | 14641 25 | − | 27889 100 |
| = | 1227 4 |
1227 4 | = | 3 | ( | 480 | − | s | − | 6 | × | 121 5 | ) |
| Right side of the equation = | 3 | × | 480 | − | 3 | s | − | 3 | × | 6 | × | 121 5 |
| = | 1440 | − | 3 | s | − | 2178 5 |
| = | 5022 5 | − | 3 | s |
1227 4 | = | 5022 5 | − | 3 | s |
Transposition :
| 3 | s | = | 5022 5 | − | 1227 4 |
Combine the items on the right of the equation:
| 3 | s | = | 13953 20 |
The coefficient of the unknown number is reduced to 1 :
| s | = | 13953 20 | ÷ | 3 |
| = | 13953 20 | × | 1 3 |
| = | 4651 20 | × | 1 |
We obtained :
| s | = | 4651 20 |
Convert the result to decimal form :
| s | = | 232.55 |