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Program to find root of a function by Bisection method (y=x^2-x-2)

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#Program to find root of a function by Bisection method (y=x^2-x-2):
def f(x):
 y=x*x-x-2
 return y
a=input("Enter the lower limit:")
b=input("Enter the upper limit:")
a=float(a)
b=float(b)
while f(a)*f(b)>0:
 print("The root of the given function does not lie in the entered limits.")
 a=input("Enter the new lower limit:")
 b=input("Enter the new upper limit:")
 a=float(a)
 b=float(b)
while(f(a)*f(b))<0:
 c=(a+b)/2.0
 if abs(f(c))<0.0000001:
  break
 if f(a)*f(c)<0:
  b=c
 else:
  a=c
print("The root of the given function is:",c)
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