Question

Find the root of the equation X cube minus x minus 1 is equal to zero using bisection method correct upto 3 decimal places

Answer 1

Answer:

15216

Step-by-step explanation:

u divide 271236286186 by 227

Answer 2

Answer:

Minimum $n=7$.

Step-by-step explanation:

The bisection method is used to find the roots of a polynomial equation.

The equations formed with variables, exponents and coefficients are called as polynomial equations.

It has different exponents, where the higher one is called the degree of the equation.

For achieving accuracy up to two decimal places, error between actual and calculated root should be less than $0.01$.

$E < 0.01$

Given equation is $x^{3} -x-1=0$

Accuracy is given by

$E\geq \frac{(b-a)}{2^{n} }$

$0.01\geq \frac{(2-1)}{2^{n} }$

$2^{n}\geq 100$

As we know that $2^{6} =64$ and $2^{7} =128$.

Minimum $n=7$.

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