If a+1 a =2, find : a^4+1 a^4 - Vidyadip

Question

If $a+\frac{1}{a}=2$, find : $a^4+\frac{1}{a^4}$

✓

Answer

$ a^4+\frac{1}{a^4}=\left(a^2+\frac{1}{a^2}\right)^2-2$
$ =(2)^2-2$
$ =4-2$
$ =2$

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