# Check if roots of a Quadratic Equation are numerically equal but opposite in sign or not

Given the coefficients (constants) of a quadratic equation , i.e. a, b, and c; the task is to check whether roots of the equation represented by these constants are numerically equal but opposite in sign or not.

Examples:

Input: a = 2, b = 0, c = -1
Output: Yes
Explanation:
The given quadratic equation is Its roots are (1, -1) which are numerically equal but opposite in sign

Input: a = 1, b = -5, c = 6
Output: No
Explanation:
The given quadratic equation is Its roots are (2, 3) which are not numerically equal and opposite in sign

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach:
To check whether roots are numerically equal but opposite in sign or not:

Quadratic Equation: Let the roots be and Sum of roots = = Since roots are opposite in sign only, therfore Therefore,   , i.e, coefficient of x is 0.

Hence we have to only check if b is 0 or not, for the roots to be numerically equal but opposite in sign.

Below is the implementation of the above approach:

## C++

 // C++ program to check if roots  // of a Quadratic Equation are  // numerically equal but opposite  // in sign or not     #include  using namespace std;     // Function to find the required answer  void checkSolution(int a, int b, int c)  {      if (b == 0)          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  // numerically equal but opposite  // in sign or not  import java.util.*;  class GFG{     // Function to find the required answer  static void checkSolution(int a, int b, int c)  {      if (b == 0)          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 Akanksha_Rai

## Python3

 # Python3 program to check if roots   # of a quadratic equation are   # numerically equal but opposite   # in sign or not      # Function to find the required answer   def checkSolution(a, b, c):          if b == 0:           print("Yes")       else:          print("No")      # Driver code   a = 2 b = 0 c = 2    checkSolution(a, b, c)         # This code is contributed by divyamohan123

## C#

 // C# program to check if roots  // of a Quadratic Equation are  // numerically equal but opposite  // in sign or not  using System;  class GFG{     // Function to find the required answer  static void checkSolution(int a, int b, int c)  {      if (b == 0)          Console.Write("Yes");      else         Console.Write("No");  }     // Driver code  public static void Main()  {      int a = 2, b = 0, c = 2;         checkSolution(a, b, c);  }  }     // This code is contributed by Akanksha_Rai

Output:

Yes


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