Write a MATLAB program to find the roots of a second order p

Write a MATLAB program to find the roots of a second order polynomial equation of the form ax^2 + bx + c = 0. Recall that the quadratic equation can be used to find the roots as follows: Root 1, Root2 =- b plusminus squareroot b^2 - 4 middot a middot c/2a Also recall that the roots may be real and distinct, repeated, or complex as described below. Real, distinct roots(b^2 > 4 middot a middot c): Root 1 = -b + squareroot b^2 - 4 middot a middot c/2a Root 2 = -b- squareroot b^2 - 4 middot a middot c/2a Repeated roots (b^2 = 4 middot a middot c): Root 1 = Root 2 = -b/2a Complex roots(b^2

Solution

disp(\"This program calculates the roots of a given quadratic equation.\");
disp(\"Quadratic Equation are of form ax^2 + bx + c\");
a = input(\"Enter a of quadratic Equation : \");
b = input(\"Enter b of quadratic Equation : \");
c = input(\"Enter c of quadratic Equation : \");
if (a > 0) && (b > 0) && (c > 0)
   d = (b*b) - (4*a*c);
   if d > 0
       % Real and Distinct roots
       fprintf(\'Roots are real and distinct\ \' );
       r1 = (-b + sqrt(d))/(2*a);
       r2 = (-b - sqrt(d))/(2*a);
       fprintf(\'Root 1 = %i\ Root 2 = %i\ \',r1,r2 );
   elseif( d == 0 )
       % Real and Equal roots
       fprintf(\'Roots are repeated\ \' );
       r = (-b)/(2*a);
       fprintf(\'Root 1 = Root 2 = %i\ \',r );
   else
       % Imaginary Roots
       fprintf(\'Roots are complex\ \');
       d = (4*a*c) - (b*b);
       r = (-b)/(2*a);
       ri = sqrt(d)/(2*a);
       fprintf(\'Root 1 = %i + (%i)i\ Root 2 = %i - (%i)i\ \',r,ri,r,ri );
   end
else
   fprintf(\'Error..!! Value of a or b or c is zero\ \');
end