Question

write the program to input the value of a,b and c of a quadratic equation ie ax²+bx+c=0,and display its root?​

Answer 1

Answer:

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C Program to Find the Roots of a Quadratic Equation

In this example, you will learn to find the roots of a quadratic equation in C programming.

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

C Programming Operators

C if...else Statement

The standard form of a quadratic equation is:

ax2 + bx + c = 0, where

a, b and c are real numbers and

a != 0

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

Answer 2

Answer:

#include <math.h>

#include <stdio.h>

int main() {

double a, b, c, discriminant, root1, root2, realPart, imagPart;

printf("Enter coefficients a, b and c: ");

scanf("%lf %lf %lf", &a, &b, &c);

discriminant = b * b - 4 * a * c;

// condition for real and different roots

if (discriminant > 0) {

root1 = (-b + sqrt(discriminant)) / (2 * a);

root2 = (-b - sqrt(discriminant)) / (2 * a);

printf("root1 = %.2lf and root2 = %.2lf", root1, root2);

}

// condition for real and equal roots

else if (discriminant == 0) {

root1 = root2 = -b / (2 * a);

printf("root1 = root2 = %.2lf;", root1);

}

// if roots are not real

else {

realPart = -b / (2 * a);

imagPart = sqrt(-discriminant) / (2 * a);

printf("root1 = %.2lf+%.2lfi and root2 = %.2f-%.2fi", realPart, imagPart, realPart, imagPart);

}