Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 x2-192*x+96*96 = 1.645*1.645*x .
Question type: Equation
Solution:Original question:
| x | × | 2 | − | 192 | x | + | 96 | × | 96 | = | 329 200 | × | 329 200 | x |
| Left side of the equation = | x | × | 2 | − | 192 | x | + | 9216 |
| = | - | 190 | x | + | 9216 |
| - | 190 | x | + | 9216 | = | 329 200 | × | 329 200 | x |
| Right side of the equation = | 108241 40000 | x |
| - | 190 | x | + | 9216 | = | 108241 40000 | x |
Transposition :
| - | 190 | x | − | 108241 40000 | x | = | - | 9216 |
Combine the items on the left of the equation:
| - | 7708241 40000 | x | = | - | 9216 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 9216 | = | 7708241 40000 | 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 :
7708241 40000 | x | = | 9216 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9216 | ÷ | 7708241 40000 |
| = | 9216 | × | 40000 7708241 |
We obtained :
| x | = | 368640000 7708241 |
Convert the result to decimal form :
| x | = | 47.82414 |