5. Write a program in C to find the roots of a quadratic equation using if-else commands.

Objective:
The objective of this program is to calculate the roots of a quadratic equation using if-else commands in the C programming language. By implementing the quadratic formula within the program, we aim to provide a tool that can accurately determine the roots of any quadratic equation input by the user.
Agenda:
1. Define variables to store the coefficients of the quadratic equation (a, b, c) and the discriminant.
2. Prompt the user to input the values of the coefficients a, b, and c.
3. Calculate the discriminant using the formula discriminant = b^2 - 4ac.
4. Use if-else statements to determine the nature of the roots based on the value of the discriminant:
- If discriminant > 0, the roots are real and distinct.
- If discriminant = 0, the roots are real and equal.
- If discriminant < 0, the roots are complex.
5. Calculate the roots of the quadratic equation based on the nature of the discriminant using the quadratic formula.
6. Display the roots of the quadratic equation as output to the user.
Purpose:
The purpose of this program is to offer a computational tool that can efficiently calculate the roots of a quadratic equation. By utilizing if-else commands to analyse the discriminant, the program can determine the nature of the roots and provide accurate solutions for various types of quadratic equations. This program aims to assist users in solving mathematical problems involving quadratic equations and enhance their understanding of the concepts related to roots and discriminants.
Real-Life Applications:
1. Engineering: Engineers often encounter quadratic equations in various fields such as structural analysis, electrical circuits, and fluid dynamics. This program can help engineers solve complex equations and optimize designs.
2. Finance: Financial analysts use quadratic equations to model investment returns and risk assessments. This program can aid in analysing financial data and making informed decisions.
3. Physics: Quadratic equations are prevalent in physics calculations, especially in kinematics and motion problems. This program can assist physicists in solving equations related to motion and energy.
5. Write a program in C to find the roots of a quadratic equation using if-else commands.

/* a program in C that calculates roots of a quadratic
equation using if-else commands. */
#include <stdio.h>
#include<math.h>
int main()
{
float a,b,c,discriminant,rt1,rt2;
printf("Enter coefficients a, b, and c: ");
scanf("%f %f %f", &a, &b, &c);
discriminant = b*b - 48a*c;
if (discriminant > 0)
{
rt1 = (-b + sqrt(discriminant)) / (2*a);
rt2 = (-b - sqrt(discriminant)) / (2*a);
printf("Roots are real and different: %.2f and %.2f\n", rt1, rt2);
}
else if (discriminant == 0)
{
rt1 = -b / (2*a);
printf("Roots are real and same: %.2f\n", rt1);
}
else
{ float realPart = -b / (2*a);
float imaginaryPart = sqrt(-discriminant) / (2*a);
printf("Roots are complex and different: %.2f + %.2fi and %.2f - %.2fi\n",
realPart, imaginaryPart, realPart, imaginaryPart);
}
return 0;
}

a program in C programming language find the roots of a quadratic equation using if-else commands.

Explanation
1. The program first asks the user to enter the coefficients of the quadratic equation a, b and c.
2. Calculates the discriminant using the formula b*b - 4*a*c.
3. then uses an if-else statement to determine the appearance of the root based on the offset value:
If the discriminant is greater than 0, the root is real and different.
If the difference is 0, the roots are real and equal.
If the discriminant is less than 0, the root is complex and different.
4. The program then calculates and prints the original roots accordingly.
5. Finally, the program returns 0 to specify successful execution of the program.

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