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Measure the Elapsed Time in Python Represent enum Create a Countdown Timer Convert Bytes to a String

Introduction

Print Hello world!Add Two Numbers Find the Square Root Calculate the Area of a Triangle Solve Quadratic Equation Swap Two Variables Generate a Random Number Convert Kilometers to Miles Convert Celsius To Fahrenheit Print Output Without a Newline

Object Oriented

Get the Class Name of an Instance Differentiate Between type() and isinstance()

Decision Making and Loops

Check if a Number is Positive, Negative or 0 Check if a Number is Odd or Even Check Leap Year Find the Largest Among Three Numbers Check Prime Number Print all Prime Numbers in an Interval Find the Factorial of a Number Display the multiplication Table Print the Fibonacci sequence Check Armstrong Number Find Armstrong Number in an Interval Find the Sum of Natural Numbers Create Pyramid Patterns Iterate Over Dictionaries Using for Loop Reverse a Number Compute the Power of a Number

Functions

Display Powers of 2 Using Anonymous Function Find Numbers Divisible by Another Number Convert Decimal to Binary, Octal and Hexadecimal Find ASCII Value of Character Find HCF or GCD Find LCM Find the Factors of a Number Make a Simple Calculator Shuffle Deck of Cards Display Calendar Display Fibonacci Sequence Using Recursion Find Sum of Natural Numbers Using Recursion Find Factorial of Number Using Recursion Convert Decimal to Binary Using Recursion Return Multiple Values From a Function

Native Datatypes

Add Two Matrices Transpose a Matrix Multiply Two Matrices Check Whether a String is Palindrome or Not Remove Punctuations From a String Sort Words in Alphabetic Order Illustrate Different Set Operations Count the Number of Each Vowel Merge Two Dictionaries Access Index of a List Using for Loop Flatten a Nested List Slice Lists Sort a Dictionary by Value Check If a List is Empty Concatenate Two Lists Check if a Key is Already Present in a Dictionary Split a List Into Evenly Sized Chunks Parse a String to a Float or Int Print Colored Text to the Terminal Convert String to Datetime Get the Last Element of the List Get a Substring of a String Randomly Select an Element From the List Check If a String Is a Number (Float)Count the Occurrence of an Item in a List Delete an Element From a Dictionary Create a Long Multiline String Convert Two Lists Into a Dictionary Trim Whitespace From a String Iterate Through Two Lists in Parallel Count the Number of Digits Present In a Number Check If Two Strings are Anagram Capitalize the First Character of a String Compute all the Permutation of the String Count the Number of Occurrence of a Character in String Remove Duplicate Element From a List

Files

Merge Mails Find the Size (Resolution) of an Image Find Hash of File Safely Create a Nested Directory Catch Multiple Exceptions in One Line Copy a File Python Program Read a File Line by Line Into a List Append to a File Extract Extension From the File Name Get the File Name From the File Path Get Line Count of a File Find All File with .txt Extension Present Inside a Directory Get File Creation and Modification Date Get the Full Path of the Current Working Directory Check the File Size

C++ Program to Find All Roots of a Quadratic Equation

To understand this example, you should have the knowledge of the following C++ programming topics:

C++ if, if…else and Nested if…else

For a quadratic equation ax2+bx+c = 0 (where a, b and c are coefficients), it’s roots is given by following the formula.

Formula to find root of an quadratic equation

Formula to Find Roots of Quadratic Equation

The term b2-4ac is known as the discriminant of a quadratic equation. The discriminant tells the nature of the roots.

If discriminant is greater than 0, the roots are real and different.
If discriminant is equal to 0, the roots are real and equal.
If discriminant is less than 0, the roots are complex and different.

Calculation of roots of a quadratic equation

Calculate Root of Quadratic Equation

Example: Roots of a Quadratic Equation


              
#include <iostream>
#include <cmath>
using namespace std;

int main() {

    float a, b, c, x1, x2, discriminant, realPart, imaginaryPart;
    cout << "Enter coefficients a, b and c: ";
    cin >> a >> b >> c;
    discriminant = b*b - 4*a*c;

    if (discriminant > 0) {
        x1 = (-b + sqrt(discriminant)) / (2*a);
        x2 = (-b - sqrt(discriminant)) / (2*a);
        cout << "Roots are real and different." << endl;
        cout << "x1 = " << x1 << endl;
        cout << "x2 = " << x2 << endl;
    }

    else if (discriminant == 0) {
        cout << "Roots are real and same." << endl;
        x1 = -b/(2*a);
        cout << "x1 = x2 =" << x1 << endl;
    }

    else {
        realPart = -b/(2*a);
        imaginaryPart =sqrt(-discriminant)/(2*a);
        cout << "Roots are complex and different."  << endl;
        cout << "x1 = " << realPart << "+" << imaginaryPart << "i" << endl;
        cout << "x2 = " << realPart << "-" << imaginaryPart << "i" << endl;
    }

    return 0;
}

Output


              
Enter coefficients a, b and c: 4
5
1
Roots are real and different.
x1 = -0.25
x2 = -1

In this program, sqrt() library function is used to find the square root of a number.