# Group Them Carefully 1

Algebra Level 2

If we square the equation, $$x + \dfrac1x = 3$$, we get

$\begin{eqnarray} \left( x + \dfrac1x \right)^2 &=& 3^2 \\ x^2 + \dfrac1{x^2} + 2 &=& 9 \\ x^2 + \dfrac1{x^2} &=& 7 \end{eqnarray}$

What is the value of the $$x^4 + \dfrac1{x^4}$$?

Hint: Try squaring the equation again!

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