C Program To Find Root Of Quadratic Equation
C Program To Find Quadratic Equation Using Switch Case
C++ Program To Find Quadratic Equation

In this tutorial, we will learn to find the roots or solutions of a quadratic equation in C++. In mathematics, these equations are used in fields such as simplification of expressions, equations of a circle and other conic sections, etc. Here, we will learn a method to find the roots of these equations, and a C++ program that calculates the roots of a given quadratic equation.

Quadratic equation

The general quadratic equation is as follows –

In the Quadratic equation in the C program, we will find the roots of the quadratic equations. A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form of the quadratic equation is ax² + bx + c = 0 where a, b and c are real and a!=0, x is an unknown variable.
C program to find the roots of a quadratic equation using switch case: The below program ask the user to enter the value of a,b and c. After getting the value from the user it will calculate on the basis of ‘Discriminant’ value using switch case.
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Write a c program to find the roots of a quadratic equation ax2 + bx + c = 0. C program to find the roots of a Quadratic Equation ax^2 + bx + c = 0.

Ax^2 + Bx + C = 0

where,

C Program To Find Root Of Quadratic Equation

A, B, and C are known values.
A is the coefficient of the term containing x^2. Also, A cannot be 0.
B is the coefficient of the term containing x.
C is a constant value.
x is an unknown value or variable

The name ‘quadratic’ means square because the equations contain the square of the unknown variable. The quadratic equations are of degree 2.

For example –
5x^2 + 4x + 1 = 0
x^2 + 2x + 1 = 0

Finding roots of a quadratic equation

Every quadratic equation has exactly two roots. The roots can be equal or distinct, and real or complex. So, to find the nature of roots, calculate the discriminant using the following formula –

Discriminant, D = B^2 – 4AC

Case 1 – D < 0
If D is less than 0, then the roots and distinct and complex.
Case 2 – D = 0
If D is equal to 0, then the roots are equal and real.
Case 3 – D > 0
If D is greater than 0, then both the roots are real and distinct.

To find both the roots, we use the formula given below –

Root1 = ( -B + square_root(D) ) / 2A
Root2 = ( -B – square_root(D) ) / 2A

Program to find roots of a quadratic equation in C++

Now, we will see a program that calculates the roots of a quadratic equation using C++. The program takes the coefficients i.e. A, B, and C from the user and then finds the roots. The C++ program to find roots of the equation is –

In this program, we find the square root using the in-built sqrt() function of the ‘cmath’ library. The program displays both the roots of the given quadratic equation.

$C program to find roots of quadratic equation using pointers$

C++ program output

The output of the above program is –

C Program To Find Quadratic Equation Using Switch Case

The user has entered the value of A, B, and C as 1, 2, and -8 respectively. The roots of the equations always satisfy the equations.
For example –

So, both the roots satisfy the equation.

Thank you for reading this tutorial. I hope it helps you a lot.