script.py

import math
def find_numbers(sum, product):
    discrim=sum**2-4*product
    if discrim<0:
        return None
    sqrt_d=math.sqrt(discrim)
    x=(sum+sqrt_d)/2
    y=(sum-sqrt_d)/2
    if x.is_integer() and y.is_integer() and x>0 and y>0:
        return int(x),int(y)
    else:
        return None
print("This program finds two numbers that add to a specified sum and multiply to a specified product.")
print("Let x, and y be natural numbers larger than 0.")
while True:
    try:
        sumval=int(input("Enter the value they should add up to: "))
        if sumval<=0:
            print("Invalid value entered. Please enter a natural number.")
            continue
        break
    except ValueError:
        print("Invalid value entered. Please enter a natural number.")
while True:
    try:
        prdval=int(input("Enter the value they should multiply to: "))
        if prdval<=0:
            print("Invalid value entered. Please enter a natural number.")
            continue
        break
    except ValueError:
        print("Invalid value entered. Please enter a natural number.")
result=find_numbers(sumval, prdval)
if result is None:
        print("No natural numbers satisfy the conditions.")
else:
        x,y = result
        print(f"x and y are {x} and {y} respectively.")