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

• Last Updated : 23 Aug, 2021

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

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, therefore 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 answervoid checkSolution(int a, int b, int c){    if (b == 0)        cout << "Yes";    else        cout << "No";} // Driver codeint 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 notimport java.util.*;class GFG{ // Function to find the required answerstatic void checkSolution(int a, int b, int c){    if (b == 0)        System.out.print("Yes");    else        System.out.print("No");} // Driver codepublic 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 answerdef checkSolution(a, b, c):     if b == 0:        print("Yes")    else:        print("No") # Driver codea = 2b = 0c = 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 notusing System;class GFG{ // Function to find the required answerstatic void checkSolution(int a, int b, int c){    if (b == 0)        Console.Write("Yes");    else        Console.Write("No");} // Driver codepublic static void Main(){    int a = 2, b = 0, c = 2;     checkSolution(a, b, c);}} // This code is contributed by Akanksha_Rai

Javascript


Output:
Yes

Time Complexity: O(1)

Auxiliary Space: O(1)

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