Question

Use Python Programming.

Design a class named Quadratic Equation for a quadratic equation ax + bx+c 0. The class contains: • The data fields a, b, and c that represent three coefficients. . An initializer for the arguments for a, b, and c. • Three getter methods for a, b, and c. • A method named get Discriminant() that returns the discriminant, which is b- 4ac The methods named getRoot 1() and getRoot 2() for returning the two roots of the equation using these formulas: r1 ----7-400 and r2 --b* V62-4ac These methods are useful only if the discriminant is nonnegative. Let these methods return None if the discriminant is negative. Write a test program that prompts the user to enter values for a, b, and c and displays the result based on the discriminant. If the discriminant is positive, display the two roots. If the discriminant is o, display the one root. Otherwise, display "The equation has no roots."

Answer 1

Code:

import math
class QuadraticEquation:
def __init__(self, a, b, c): #Initializer method
self.a = a
self.b = b
self.c = c
def getDiscriminant(self):
return ((self.b)**2) - (4 * self.a * self.c)
def geta(self): #getter methods
return self.a
def getb(self):
return self.b
def getc(self):
return self.c

def getRoot1(self):
if self.getDiscriminant() < 0:
return None
else:
return ((-1*self.getb()) - math.sqrt(self.getDiscriminant())) / (2 * self.geta())
def getRoot2(self):
if self.getDiscriminant() < 0:
return None
else:
return ((-1*self.getb()) + math.sqrt(self.getDiscriminant())) / (2 * self.geta())

print('Enter values for a, b and c')
a, b, c= map(int, input().split())
qe = QuadraticEquation(a,b,c) # creating object of class
if(qe.getDiscriminant()<0):
print('The equation has no roots')
elif(qe.getDiscriminant() == 0):
print('One Common Root of equation='+str(qe.getRoot1()))
else: print('Roots of equation are:'+str(qe.getRoot1())+" and "+str(qe.getRoot2()))
  

Explanation: The program has a class named QuadraticEquation with an initializer method, 3 getter methods for coefficients, a getDiscriminant method for calculating discriminant and 2 root calculationg methods. The program first takes input a, b and c , the coefficient of equationa and then create an object(instnace) of class with them. It then calculates the discriminant and then according gives out the roots of the equation.

Output and Code Identation:  

import math class QuadraticEquation: Output def __init__(self, a, b, c): self.a = a Enter values for a, b and c self.b = b 2 5 -3 self.c = c Roots of equation are:-3.0 and 0.5 def getDiscriminant (self): return ((self.b)**2) - (4 * self.a * self.c) def geta (self): return self.a def getb (self): return self.b def getc (self): return self.c def getRooti (self): if self.getDiscriminant () <0: return None else: return ((-1*self.getb()) - math.sqrt (self.getDiscriminant())) / (2 * self.geta ()) def getRoot2 (self): if self.getDiscriminant() < 0: return None else: return ((-1*self.getb()) + math.sqrt (self.getDiscriminant())) / (2 * self.geta ()) print("Enter values for a, b and c') a, b, c= map (int, input ().split()) qe = QuadraticEquation(a,b,c) if (qe.getDiscriminant () <0): print('The equation has no roots') elif (ge.getDiscriminant() == 0): print("One Common Root of equation='+str (ge.getRooti())) else: print ('Roots of equation are:'+str (ge.getRooti())+" and "+str (ge.getRoot2()))