Find the largest real root

of
( ) 1 0
6
f x  x  x  
lying between 1 and 2. Perform
three iterations by bisection metho

To find the largest real root \(\alpha\) of the function 

\[
f(x) = x^6 - x - 1 = 0
\]

lying between 1 and 2 using the **bisection method**, we will

Discover how to find the largest real root \(\alpha\) of the polynomial equation x^6 - x - 1 = 0 using the bisection method. Follow a step-by-step solution through three iterations, perfect for advanced high school students and anyone interested in numerical methods and root finding techniques.

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