# Check if roots of a Quadratic Equation are reciprocal of each other or not

• Last Updated : 24 Mar, 2021

Given three numbers A, B, C which represents the coefficients(constants) of a quadratic equation , the task is to check whether the roots of the equation represented by these constants are reciprocal of each other or not.
Examples:

Input: A = 2, B = -5, C = 2
Output: Yes
Explanation:
Its roots are (1, 1/1) which are reciprocal of each other.
Input: A = 1, B = -5, C = 6
Output: No
Explanation:
Its roots are (2, 3) which are not reciprocal of each other.

Approach: The idea is to use the concept of quadratic roots to solve the problem. We can formulate the condition required to check whether one root is the reciprocal of the other or not by:

1. Let the roots of the equation be and .
2. The product of the roots of the above equation is given by .
3. It is known that the product of the roots is C/A. Therefore, the required condition is C = A.

Below is the implementation of the above approach:

## C++

 // C++ program to check if roots // of a Quadratic Equation are // reciprocal of each other or not   #include  using namespace std;   // Function to check if the roots  // of a quadratic equation are // reciprocal of each other or not void checkSolution(int a, int b, int c) {     if (a == c)         cout << "Yes";     else         cout << "No"; }   // Driver code int main() {     int a = 2, b = 0, c = 2;       checkSolution(a, b, c);       return 0; }

## Java

 // Java program to check if roots  // of a quadratic equation are  // reciprocal of each other or not  class GFG{    // Function to check if the roots   // of a quadratic equation are  // reciprocal of each other or not  static void checkSolution(int a, int b, int c)  {      if (a == c)          System.out.print("Yes");      else         System.out.print("No");  }    // Driver code  public static void main(String[] args)  {      int a = 2, b = 0, c = 2;        checkSolution(a, b, c);  }  }    // This code is contributed by shubham

## Python3

 # Python3 program to check if roots # of a Quadratic Equation are # reciprocal of each other or not   # Function to check if the roots  # of a quadratic equation are # reciprocal of each other or not def checkSolution(a, b, c):       if (a == c):         print("Yes");     else:         print("No");   # Driver code a = 2; b = 0; c = 2; checkSolution(a, b, c);   # This code is contributed by Code_Mech

## C#

 // C# program to check if roots  // of a quadratic equation are  // reciprocal of each other or not  using System; class GFG{   // Function to check if the roots  // of a quadratic equation are  // reciprocal of each other or not  static void checkSolution(int a, int b, int c)  {      if (a == c)          Console.WriteLine("Yes");      else         Console.WriteLine("No");  }    // Driver code  public static void Main() {      int a = 2, b = 0, c = 2;        checkSolution(a, b, c);  }  }    // This code is contributed by shivanisinghss2110

## Javascript

 

Output:

Yes

Time Complexity: O(1)

Auxiliary Space: O(1)

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