检查二次方程的根在数值上是否相等但符号相反

原文:https://www . geesforgeks . org/check-如果一个二次方程的根在数字上相等但在符号上相反/

给定二次方程ax^{2} + bx + c=0 的系数(常数)，即 a、b 和 c；任务是检查由这些常数表示的方程的根在数字上是否相等，但在符号上是否相反。 示例:

输入: a = 2，b = 0，c = -1 输出:是 解释: 给定的二次方程为2x^{2}-2=0 其根为(1，-1)，数值相等但符号相反 输入: a = 1，b = -5，c = 6 输出:否 解释:T20

方法: 检查根在数字上是否相等但符号相反:

二次方程:ax^{2} + bx + c = 0 设根为\alpha \beta 根之和= \alpha + \beta = \frac{-b}{a} 由于根只在符号上相反，故\alpha = -\beta 故 -\beta + \beta = \frac{-b}{a} 0 = \frac{-b}{a} b = 0 ，即 x 的系数为 0。

因此，我们只需要检查 b 是否为 0，因为根在数字上相等，但符号相反。 以下是上述方法的实现:

C++

// C++ program to check if roots
// of a Quadratic Equation are
// numerically equal but opposite
// in sign or not

#include <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 语言(一种计算机语言，尤用于创建网站)

// 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

Python 3

# 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

java 描述语言

<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

时间复杂度: O(1)

辅助空间: O(1)

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