Determine the roots of the simultaneous non-linear equations: (x-4)² + (y−4)² = 5 x² + y² = 16 a. Use the graphical approach to obtain initial guesses (Hint: rearrange the equations to solve for the 4 different y values, plot all four of the equations y(x), recall that the solution to a square root can be positive and negative. For example: y1 = np.sqrt(16-x**2) and y2 =-np.sqrt(16-x**2)) b. Use the 'root' function from scipy.optimize.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Determine the roots of the simultaneous non-linear equations:
(x-4)² + (y−4)² = 5
x² + y² = 16
Use the graphical approach to obtain initial guesses
(Hint: rearrange the equations to solve for the 4 different y values, plot all four of the
equations y(x), recall that the solution to a square root can be positive and negative.
For example: y1= np.sqrt(16-x**2) and y2 =-np.sqrt(16-x**2))
b. Use the 'root' function from scipy.optimize.
Transcribed Image Text:Determine the roots of the simultaneous non-linear equations: (x-4)² + (y−4)² = 5 x² + y² = 16 Use the graphical approach to obtain initial guesses (Hint: rearrange the equations to solve for the 4 different y values, plot all four of the equations y(x), recall that the solution to a square root can be positive and negative. For example: y1= np.sqrt(16-x**2) and y2 =-np.sqrt(16-x**2)) b. Use the 'root' function from scipy.optimize.
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