Question

Let $a$ is a real number satisfying $a^3+\frac{1}{a^3}=2$. Find the value of $a^4+\frac{1}{a^4}$

Answer 1

$a^3+\frac{1}{a^3}=2\Rightarrow a=1$

$a^4+\frac{1}{a^4}=1+1=2$