Question

Determine the real root of f (x) = −25 + 82x − 90x2 + 44x3
−8x4 + 0.7x5:

Using python in bisection to determine the root to s = 10%. Employ
initial guesses of xl = 0.5 and xu = 1.0;

pls use python

Answer 1

"""
  Python program for bisection method
"""

def func(x):
  return (0.7*(x**5) + -8*(x**4) + 44*(x**3) + -90*(x**2) + 82*x - 25)
   
def bisection(xl,xu):
  if (func(xl) * func(xu) >= 0):
    print("Wrong choice for xl and xu")
    return

  x = xl
  while ((xu-xl) >= 0.10):
    # Find middle point
    x = (xl+xu)/2

    # Check if middle point is root
    if (func(x) == 0.0):
      break

    # Decide the side to repeat the steps
    if (func(x)*func(xl) < 0):
      xu = x
    else:
      xl = x

  print("The value of root is : ", x)

a = 0.5
b = 1
bisection(a, b) 

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