Question

write easiest program to under stand:-
a) Python program that takes three coefficients (a, b, and c) of a
Quadratic equation (ax2+bx+c=0) as input
and compute all possible roots
b).User defined function isprime(num) that accepts an integer argument and returns 1 if the argument is prime, a 0 otherwise. Write a Python program that invokes this function to generate prime numbers
between the given ranges

Answer 1

Here is the completed code for this problem. Comments are included, go through it, learn how things work and let me know if you have any doubts or if you need anything to change. If you are satisfied with the solution, please rate the answer. Thanks

#code

import math

#method to print the roots of a quadratic equation
def print_roots(a, b, c):
    #finding descriminant (b^2-4ac)
    descriminant = (b * b) - (4 * a * c)
    #if descriminant is less than 0, no roots are there
    if descriminant < 0:
       print('No real roots')
    elif descriminant == 0:
        #exactly one root
        root = -b / (2 * a)
        print('Root:', root)
    else:
        #two roots, applying the equation to find the roots
        #of quadratic equation
        root1 = (-b + math.sqrt(descriminant)) / (2 * a)
        root2 = (-b - math.sqrt(descriminant)) / (2 * a)
        #displaying two roots
        print('Root 1:', root1)
        print('Root 2:', root2)

#method to check if a num is prime or not, returns 1 if prime, 0 if not
def isprime(num):
    #any number less than 2 is not a prime
    if num<2:
        return 0
    #looping from 2 to num/2, if any number in this range divides
    #num evenly, then num isnt prime
    for i in range(2,num//2):
        if num%i==0:
            #not prime
            return 0
    return 1 #prime


def main():
    #getting values for a,b and c, testing first method
    print('Enter three coefficients to find the roots')
    a=float(input('a: '))
    b = float(input('b: '))
    c = float(input('c: '))
    print_roots(a,b,c)
   
    #getting two integers, printing all prime numbers between them
    print('Enter starting and ending range to print all primes')
    n1=int(input('num1: '))
    n2 = int(input('num2: '))
    for i in range(n1,n2+1):
        if isprime(i):
            print(i,end=' ') #printing all on the same line
    print()
main()

#output

Enter three coefficients to find the roots

a: 1

b: 5

c: 6

Root 1: -2.0

Root 2: -3.0

Enter starting and ending range to print all primes

num1: 15

num2: 50

17 19 23 29 31 37 41 43 47