Question

Write a program to find the roots of quadratic equation.

Answer 1

Answer:

Since you didn't mention language, here it is in python

Explanation:

from math import sqrt

# define ax^2 + bx + c = 0

def roots( a, b, c) :

   D = b*b - 4*a*c

   

   print( "Roots of {}x^2 + {}x + {} : ".format(a,b,c))

   

   if D == 0 :

       print( -b / (2*a) )

   elif D > 0 :

       print( (-b + sqrt(D)) / (2*a) )

       print( (-b - sqrt(D)) / (2*a) )

   else :

       print(-b/(2*a), "+", sqrt(-D)/(2*a), "i")

       print(-b/(2*a), "-", sqrt(-D)/(2*a), "i")

       

   print()

       

# x^2 - 4 = 0

roots( 1, 0, -4)

# (x-3)^2 = 0

roots( 1, 6, 9)

# x^2 = -4

roots( 1, 0, 4)