Given the coefficients (constants) of a quadratic equation
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 beand
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++ program to check if roots // of a Quadratic Equation are // numerically equal but opposite // in sign or not #include <iostream> 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 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 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# 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 |
<script> // Javascript program to check if roots // of a Quadratic Equation are // numerically equal but opposite // in sign or not // Function to find the required answer function checkSolution(a, b, c)
{ if (b == 0)
document.write( "Yes" );
else
document.write( "No" );
} // Driver code a = 2, b = 0, c = 2; checkSolution(a, b, c); </script> |
Output:
Yes
Time Complexity: O(1)
Auxiliary Space: O(1)