Write a class called Quadratic, which implements a quadratic polynomial with integer coefficients. Foreach quadratic polynomial ar? + br +c, an instance is generated like this: Quadratic(la, b, c]).For two concrete examples, the instances P and Q of the class Quadratic, where P represents the poly-nomial 3r? – 7z +5 and Q represents the polynomial r? + 8z – 3, are defined asP = Quadratic([3, -7, 5])Q = Quadratic([1, 8, -3])When printing an instance, for example P, print(P) should display 3z^2 – 7z + 5 on the screen.In addition, write the following class methods which manipulate the instances of the class Quadratic.roots(), which is called in the main function as P.roots(), and returns the two roots of the polynomial Pinside a list. For P, P.roots() returns [1.16667+0.55277i, 1.16667+0.55277i]. For the instance Q, Q.rootsreturns [0.35890+0i, -8.3589+0Oi], since Q has only two real roots. If a polynomial has a double root,return the list containing the same root twice in the same way as for P and Q.

Formula to calculate roots of a quadratic equation: x1 = -b + b2 - 4ac2ax2 = -b - b2 - 4ac2a

Write a class called Quadratic, which implements a quadratic polynomial with integer coefficients. For cach quadratic polynomial ax² + br + e, an instance is generated like this: Quadratic(/a, b, c}). For two concrete examples, the instances P and Q of the class Quadratic, where P represents the poly- nomial 3r? – 7r + 5 and Q represents the polynomial r² + 8&r – 3, are defined as P - Quadratic([3, -7, 5]) Q - Quadratic([1, 8, -3]) When printing an instance, for example P, print(P) should display 3r^2 – 7 + 5 on the screen. In addition, write the following class methods which manipulate the instances of the class Quadratic. roots(), which is called in the main function as P.roots(), and returns the two roots of the polynomial P inside a list. For P, P.roots() returns [1.16667+0.55277i, 1.16667+0.55277i]. For the instance Q, Q.roots returns [0.35890+0i, -8.3589+0i], since Q has only two real roots. If a polynomial has a double root, return the list containing the same root twice in the same way as for P and Q.

Write a class called Quadratic, which implements a quadratic polynomial with integer coefficients. For cach quadratic polynomial ax² + br + e, an instance is generated like this: Quadratic(/a, b, c}). For two concrete examples, the instances P and Q of the class Quadratic, where P represents the poly- nomial 3r? – 7r + 5 and Q represents the polynomial r² + 8&r – 3, are defined as P - Quadratic([3, -7, 5]) Q - Quadratic([1, 8, -3]) When printing an instance, for example P, print(P) should display 3r^2 – 7 + 5 on the screen. In addition, write the following class methods which manipulate the instances of the class Quadratic. roots(), which is called in the main function as P.roots(), and returns the two roots of the polynomial P inside a list. For P, P.roots() returns [1.16667+0.55277i, 1.16667+0.55277i]. For the instance Q, Q.roots returns [0.35890+0i, -8.3589+0i], since Q has only two real roots. If a polynomial has a double root, return the list containing the same root twice in the same way as for P and Q.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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