不使用Shridharacharya公式的a + b + c = 0时二次方程的根

给定三个整数a ， b和c ，使得a + b + c = 0 。任务是找到二次方程ax ² + bx + c = 0的根。
例子：

Input: a = 1, b = 2, c = -3 
Output: 1, -3
Input: a = -5, b = 3, c = 2 
Output: 1, -2.5 
 

方法：当a + b + c = 0时，方程ax ² + bx + c = 0的根总是1和c / a 。
例如，

Take a = 3, b = 2 and c = -5 such that a + b + c = 0 
Now, the equation will be 3x² + 2x – 5 = 0 
Solving for x, 
3x² + 5x – 3x – 5 = 0 
x * (3x + 5) -1 * (3x + 5) = 0 
(x – 1) * (3x + 5) = 0 
x = 1, x = (-5 / 3) = (c / a) 
 

下面是上述方法的实现：

C++

// C++ implementation of the approach
#include 
using namespace std;
 
// Function to print the roots of the
// quadratic equation when a + b + c = 0
void printRoots(long a, long b, long c)
{
    cout << 1 << ", " << c / (a * 1.0);
}
 
// Driver code
int main()
{
    long a = 2;
    long b = 3;
    long c = -5;
    printRoots(a, b, c);
 
    return 0;
}

Java

// Java implementation of the approach
class GFG
{
     
    // Function to print the roots of the
    // quadratic equation when a + b + c = 0
    static void printRoots(long a, long b, long c)
    {
        System.out.println(1 + ", " + c / (a * 1.0));
    }
     
    // Driver Code
    public static void main (String[] args)
    {
        long a = 2;
        long b = 3;
        long c = -5;
        printRoots(a, b, c);
    }
}
 
// This code is contributed by
// sanjeev2552

Python3

# Python3 implementation of the approach
 
# Function to print the roots of the
# quadratic equation when a + b + c = 0
def printRoots(a, b, c):
    print(1, ",", c / (a * 1.0))
 
# Driver code
a = 2
b = 3
c = -5
printRoots(a, b, c)
 
# This code is contributed by Mohit Kumar

C#

// C# implementation of the approach
using System;
 
class GFG
{
 
// Function to print the roots of the
// quadratic equation when a + b + c = 0
static void printRoots(long a, long b, long c)
{
    Console.WriteLine("1, " + c / (a * 1.0));
}
 
// Driver code
public static void Main()
{
    long a = 2;
    long b = 3;
    long c = -5;
    printRoots(a, b, c);
}
}
 
// This code is contributed by Nidhi

Javascript

// Javascript implementation of the approach
 
// Function to print the roots of the
// quadratic equation when a + b + c = 0
function printRoots(a, b, c)
{
    document.write(1 + ", " + c / (a * 1.0));
}
 
// Driver code
var a = 2;
var b = 3;
var c = -5;
printRoots(a, b, c);
 
// This code is contributed by noob2000.

输出：

1, -2.5

时间复杂度： O(1)