#how to find roots in quadratic equation
a=int(input('Enter coefficient of x2 :'))
b=int(input('Enter coefficient of x :'))
c=int(input('Enter the constant :'))
if a==0:
print("a can't be 0")
else:
D=b**2-4*a*c
if D>0:
print('The roots are real and distinct')
r1=(-b+D**0.5)/(2*a)
r2=(-b-D**0.5)/(2*a)
print("The roots are",r1,"and",r2)
elif D==0:
print('The roots are real and equal')
r=-b/(2*a)
print('The root is',r)
else:
print('The roots are imaginary')
#output:
#real and equal
Enter coefficient of x2 :1
Enter coefficient of x :-4
Enter the constant :4
The roots are real and equal
The root is 2.0
#not real
Enter coefficient of x2 :4
Enter coefficient of x :5
Enter the constant :6
The roots are imaginary
#real and not equal
Enter coefficient of x2 :1
Enter coefficient of x :-5
Enter the constant :6
The roots are real and distinct
The roots are 3.0 and 2.0
#root of quadratic equation
a=int(input('Enter coefficient of x2 :'))
b=int(input('Enter coefficient of x :'))
c=int(input('Enter the constant :'))
import math as m
if a==0:
print(a,'value of a can not be zero')
print("
aborting!!!!!!")
else:
delta=b**2- 4*a*c
if delta<0:
root1=((-b + m.sqrt(delta))/(2*a))
root2=((-b - m.sqrt(delta))/(2*a))
print('roots are real and distinct')
print('roots are',root1,'and',root2)
elif delta==0:
root=((-b+ m.sqrt(delta))/(2*a))
print('roots are real and equal')
print('root is',root,'each')
else:
print('roots are imaginary')