Program to Find the Roots of a Quadratic Equation - (C Programs)

Example:

Given a quadratic equation of the form ax^2 + bx + c = 0,

Let's take an example input:

Enter the values of a, b, and c: 2 -1 -6

Here, a = 2, b = -1, and c = -6.

The roots of the given quadratic equation are:

x1 = 2.449490
x2 = -1.949490

Output:

The program will calculate and output the roots of the given quadratic equation.

Explanation:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants. To find the roots of a quadratic equation, we use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

The sign ± indicates that there are two possible solutions for x. The part inside the square root is called the discriminant, which determines the nature of the roots.

• If the discriminant is greater than zero, the roots are two distinct real numbers.
• If the discriminant is equal to zero, the roots are equal and real.
• If the discriminant is less than zero, the roots are two complex conjugate numbers.

Use:

This program can be used to find the roots of any given quadratic equation. It can be useful in solving problems related to physics, engineering, and mathematics.

Summary:

This program takes the coefficients of a quadratic equation as input and calculates the roots of the equation using the quadratic formula. The program output is the values of x1 and x2, which are the roots of the equation.