Question

Draw a Flowchart & write an Algorithm to find Roots of Quadratic equations ax²+bx+c=0​

Answer 1

Answer:

Step Form Algorithm:

• Start.

• Declare the required variables.

• Indicate the user to enter the coefficients of the quadratic equation by displaying suitable sentences using printf() function.

• Wait using the scanf() function for the user to enter the input.

• Calculate the roots of quadratic equation using the proper formulae.

• Display the result.

• Wait for user to press a key using getch() function.

• Stop.

Pseudo Code Algorithm:

• Start.

• Input a, b, c.

• D ← sqrt (b × b – 4 × a × c).

• X1 ← (-b + d) / (2 × a).

• X2 ← (-b - d) / (2 × a).

• Print x1, x2.

• Stop.

Flowchart:

Flowchart to calculate the roots of quadratic equation is shown below in figure 3.

Answer 2

Answer:

Quadratic Equation

#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);

}

return 0;

}