Every Quadratic equation has two roots. And this program is implemented to find the roots of the entered quadratic equation.
Logic : The roots of any quadratic equation of the the form, are,
The same equation is computerized here. The program asks user to enter the three coefficients a, b and c. Then it finds out numerator- which is the discriminate, and the denominator of the equation of the roots. Then it checks if the numerator is greater, equals or less than zero. Prints out the results according to the situation.
This can be elaborated to find the roots of equation with higher powers. You are pleased to contact us with your doubts through the discussion forum.
#include<stdio.h>
#include<math.h>
void main()
{
int A, B, C;
float disc, deno, x1, x2;
clrscr();
printf(“\n\n\t ENTER THE VALUES OF A,B,C…”);
scanf(“%d,%d,%d”, &A, &B, &C);
disc = (B * B) – (4 * A * C);
deno = 2 * A;
if(disc > 0)
{
printf(“\n\t THE ROOTS ARE REAL ROOTS”);
x1 = (-B/deno) + (sqrt(disc) / deno);
x2 = (-B/deno) – (sqrt(disc) / deno);
printf(“\n\n\t THE ROOTS ARE…: %f and %f\n”, x1, x2);
}
else if(disc == 0)
{
printf(“\n\t THE ROOTS ARE REPEATED ROOTS”);
x1 = -B/deno;
printf(“\n\n\t THE ROOT IS…: %f\n”, x1);
}
else
printf(“\n\t THE ROOTS ARE IMAGINARY ROOTS\n”);
getch();
}
very good.