If $ a + \frac{1}{a} = 4$, then what is the value of $a^4 + \frac{1}{a^4}$?
Answer & explanation
Correct answer: option 2
If $K+\frac{1}{K}=n$
then, $K^2+\frac{1}{K^2}$ = n2 – 2
If $ a + \frac{1}{a} = 4$
$ a^2 + \frac{1}{a^2} = 4^2 - 2 = 14$
$a^4 + \frac{1}{a^4}$ = 14^2 - 2 = 194