Algorithm to Calculate Roots of a Quadratic Equation

Step 1 : Start

Step 2 : Read a,b,c             //the quadratic equation of the form  aX^2 + bX +c 

Step 3 : d = b*b - 4*a*c

Step 4 : if d = 0 then go to Step 5

             if d > 0 then go to Step 7

             if d < 0 then go to Step 10 

Step 5 : r1 = r2 = - b / (2 * a)

Step 6 : print 'roots are equal and roots are r1,r2' , go to Step 15

Step 7 : r1 = ( -b + sqrt(d) )/(2 * a)

Step 8 : r2 = ( -b  -  sqrt(d) )/(2 * a)

Step 9 : print r1,print r2  go to Step 15

Step 10 : x = -b / (2 * a)

Step 11 : y = sqrt ( abs (a)) / (2 * a)

Step 12 : r1= x + iy

Step 13 : r2 = x - iy

Step 14 : print r1,r2

Step 15 : Stop