Python Coding challenge - Day 400| What is the output of the following Python Code?

 

Code Explanation:

from scipy.optimize import bisect

This imports the bisect function from the scipy.optimize module.

The bisection method is a numerical approach to finding roots of a function.

def f(x):

    return x**3 - 7*x + 6

This defines a function f(x), which takes an input x and returns the value of the polynomial:

f(x)=x 3−7x+6

This function will be used to find its root.

root = bisect(f, 0, 2)

The bisect() function is called to find a root of f(x) within the interval [0, 2].

The function bisect(f, a, b) works as follows:

It checks if f(a) and f(b) have opposite signs (i.e., one is positive and one is negative).

If yes, it repeatedly halves the interval until it finds the root or an approximation.

If f(a) or f(b) is exactly zero, that value is returned as the root.

Checking our function in the interval [0, 2]:

f(0)=0 3−7(0)+6=6 (positive)

f(2)=2 3−7(2)+6=8−14+6=0 (zero)

Since 

f(2)=0, the root is exactly 2.

print(round(root, 4))

This prints the computed root, rounded to 4 decimal places.

However, since the root is exactly 2, the output will simply be:

2.0

Final Output:

2.0