A Quadratic equation in algebra can be defined as any equation that can be written in the format ax^2+bx+c=0. For a better understanding of this finding Quadratic equation roots C program example, we always recommend you to learn the basic topics of C programming listed below:
In algebra, a quadratic equation is an equation that can be rearranged in the form 'ax^2+bx+c=0 ', where 'x' represents an unknown quantity, and 'a', 'b', and 'c' are numbers that are not equal to 0. If 'a = 0', then it is not a quadratic equation, it's called a linear equation. The numbers 'a', 'b', and 'c' are the coefficients of the equation and 'x' is the unknown value in the equation that has to find out. In this C program, we need to solve the quadratic equation and find its roots of it.
C program to find all the roots of a quadratic equation for non-zero coefficients is a little lengthy program, but it is very simple if you know the logic behind the program. We are using the formula "disc = b*b - 4.0*a*c after finding the "disc" we can check the roots are real or imaginary depending on if the value of the disc is greater than or less than zero.
Note: Checking the quadratic equation, if 'a=0' then it is not a quadratic equation. Now check 'A' or 'B' or 'C' is zero. If so we cannot determine roots. Else apply the formula "b*b - 4*a*c". Finally, the check result is greater than or less than zero or zero itself.
STEP 1: Import the needed header libraries to the C program to use the needed built-in functions.
STEP 2: Accept the values for A and B and C using printf and scanf built-in functions.
STEP 3: Check if the value of A is not equal to zero. if so it's not a quadratic equation.
STEP 4: Use 'else' to check the value of the 'disc' using the formula 'B*B - 4.0*A*C'.
STEP 5: If the disc is less than zero then it will be imaginary roots.
STEP 6: Find out the roots real and imaginary using the formula and print the roots using printf.
STEP 7: Use an 'else if' statement to check the disc is equal to zero and then the roots will be equal and real.
STEP 8: Calculate the roots using a formula and print the roots using a print statement.
STEP 9: Use the 'else if' to check the disc is greater than zero. if so print the roots as real and distinct.
STEP 10: Calculate both roots using a specific formula and print the result using a printf built-in function in C programming.
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
void main() {
float A, B, C, root1, root2;
float realp, imagp, disc;
printf("Enter the values of A, B and C\n");
scanf("%f %f %f", & A, & B, & C); /* If A = 0, it is not a quadratic equation */
if (A == 0 || B == 0 || C == 0) {
printf("Error: Roots cannot be determined\n");
exit(1);
} else {
disc = B * B - 4.0 * A * C;
if (disc < 0) {
printf("Imaginary Roots\n");
realp = -B / (2.0 * A);
imagp = sqrt(abs(disc)) / (2.0 * A);
printf("Root1 = %f +i %f\n", realp, imagp);
printf("Root2 = %f -i %f\n", realp, imagp);
} else if (disc == 0) {
printf("Roots are real and equal\n");
root1 = -B / (2.0 * A);
root2 = root1;
printf("Root1 = %f \n", root1);
printf("Root2 = %f \n", root2);
} else if (disc > 0) {
printf("Roots are real and distinct\n");
root1 = (-B + sqrt(disc)) / (2.0 * A);
root2 = (-B - sqrt(disc)) / (2.0 * A);
printf("Root1 = %f \n", root1);
printf("Root2 = %f \n", root2);
}
}
}
RUN 1 Enter the values of A, B and C 3 2 1 Imaginary Roots Root1 = -0.333333 +i 0.471405 Root2 = -0.333333 -i 0.471405 RUN 2 Enter the values of A, B and C 1 2 1 Roots are real and equal Root1 = -1.000000 Root2 = -1.000000 RUN 3 Enter the values of A, B and C 3 5 2 Roots are real and distinct Root1 = -0.666667 Root2 = -1.000000
