Question

Pseudocode and PYTHON source code, thanks!

Program 1: Design (pseudocode) and implement (source code) a class (name it QuadraticEquation) that represents a quadratic equation of the form of ax2+ bx + x = 0. The class defines the following variables and methods:

1. Private data field a, b, and c that represent three coefficients.
2. A constructor for the arguments for a, b, and c.
3. Three get methods for a, b, and c.
4. Method getDiscriminant()returns the discriminant value, which is disc = b² – 4ac.
5. Method getRoot1() returns first root if the discriminant is not negative. First root is defined as

                    R1 = (-b + SquareRoot (disc) ) / 2a

6. Method getRoot2() returns second root if the discriminant is not negative. Second root is defined as

                    R2 = (-b - SquareRoot (disc) ) / 2a

Note that if the discriminant values is negative, the roots are Undefined.

Write a test program (name it testEquation) to create objects and test the class methods. Organized your output following these sample runs.

Sample run 1 for 3x²+ 8x + 4:

a = 3
b = 8

c = 4

Root 1 = -0.6666666666666666

Root 2 = -2.0

Sample run 2 for 3x²+ 4x + 8:

a = 3
b = 4

c = 8

Root 1 is Undefined

Root 2 is Undefined

Sample run 3 for 2x²+ 8x + 2:

a = 2
b = 8

c = 2

Root 1 = -0.2679491924311228

Root 2 = -3.732050807568877

Answer 1

class QuadraticEquation:
    def __init__(self, a, b, c):
        self.__a = a
        self.__b = b
        self.__c = c

    def get_a(self):
        return self.__a

    def get_b(self):
        return self.__b

    def get_c(self):
        return self.__c

    def getDiscriminant(self):
        return self.__b**2 - 4*self.__a*self.__c

    def getRoot1(self):
        return (-self.__b + (self.getDiscriminant()) ** 0.5) / (2 * self.__a)

    def getRoot2(self):
        return (-self.__b - (self.getDiscriminant()) ** 0.5) / (2 * self.__a)


def main():
    a = float(input("Enter value of a: "))
    b = float(input("Enter value of b: "))
    c = float(input("Enter value of c: "))
    q = QuadraticEquation(a, b, c)

    print("a = " + str(a))
    print("b = " + str(b))
    print("c = " + str(c))
    if q.getDiscriminant() > 0:
        print("Root 1 = " + str(q.getRoot1()))
        print("Root 2 = " + str(q.getRoot2()))
    elif q.getDiscriminant() == 0:
        print("Root 1 = " + str(q.getRoot1()))
        print("Root 2 is Undefined")
    else:
        print("Root 1 is Undefined")
        print("Root 2 is Undefined")


main()