检查二次方程的根是否在数值上相等但符号相反

给定二次方程的系数(常数) $ax^{2} + bx + c=0$ ，即a，b和c ；任务是检查由这些常数表示的方程式的根在数值上是否相等，但符号是否相反。
例子：

Input: a = 2, b = 0, c = -1 
Output: Yes 
Explanation: 
The given quadratic equation is $2x^{2}-2=0$
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 $x^{2}-5x+6=0$
Its roots are (2, 3) which are not numerically equal and opposite in sign 
 

方法：
要检查根在数值上是否相等但符号相反：

Quadratic Equation: $ax^{2} + bx + c = 0$
Let the roots be $\alpha$and $\beta$
Sum of roots = $\alpha + \beta$= $\frac{-b}{a}$
Since roots are opposite in sign only, therfore $\alpha = -\beta$
Therefore, 
$-\beta + \beta = \frac{-b}{a}$
$0 = \frac{-b}{a}$
$b = 0$, i.e, coefficient of x is 0. 
 

因此，我们仅需检查b是否为0，以使根在数值上相等但符号相反。
下面是上述方法的实现：

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

Javascript

 
// 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);
  

输出：

Yes