Find two numbers with sum and product both same as N in C++ Program

In this tutorial, we are going to write a program to find two numbers where x + y = n and x * y = n. Sometimes it's not possible to find those types of numbers. We'll print None if there are no such numbers. Let's get started.

The given numbers are the sum and products of a quadratic equation. So the number doesn't exist if n² - 4*n<0.Else the numbers will be $$\lgroup n + \sqrt n^{2} - 4*n\rgroup/2$$ and $$\lgroup n - \sqrt n^{2} - 4*n\rgroup/2$$.

Example

Let's see the code.

 Live Demo

#include <bits/stdc++.h>
using namespace std;
void findTwoNumbersWithSameSumAndProduc(double n) {
   double imaginaryValue = n * n - 4.0 * n;
   // checking for imaginary roots
   if (imaginaryValue < 0) {
      cout << "None";
      return;
   }
   // printing the x and y
   cout << (n + sqrt(imaginaryValue)) / 2.0 << endl;
   cout << (n - sqrt(imaginaryValue)) / 2.0 << endl;
}
int main() {
   double n = 50;
   findTwoNumbersWithSameSumAndProduc(n);
   return 0;
}

Output

If you execute the above program, then you will get the following result.

48.9792
1.02084

Conclusion

If you have any queries in the tutorial, mention them in the comment section.

Hafeezul Kareem

Published on 29-Dec-2020 10:37:51

• Related Questions & Answers
• C++ program to find two numbers with sum and product both same as N
• Find two numbers with sum and product both same as N in C++
• Take two numbers m and n & return two numbers whose sum is n and product m in JavaScript
• Find two distinct prime numbers with given product in C++ Program
• Find N integers with given difference between product and sum in C++
• C++ find four factors of N with maximum product and sum equal to N .
• Find four factors of N with maximum product and sum equal to N in C++
• C program to find sum and difference of two numbers
• Find two distinct prime numbers with given product in C++
• Find if n can be written as product of k numbers in C++
• Maximum sum of distinct numbers with LCM as N in C++
• Program to find tuple with same product in Python
• Find four factors of N with maximum product and sum equal to N - Set-2 in C++
• Find four factors of N with maximum product and sum equal to N - Set-2 in Python Program
• All possible binary numbers of length n with equal sum in both halves?