Suppose that the number $a$ satisfies the equation $4 = a + a^{ - 1}.$ What is the value of $a^{4} + a^{ - 4}?$
Question:
Suppose that the number $a$ satisfies the equation $4 = a + a^{ - 1}.$ What is the value of $a^{4} + a^{ - 4}?$
Answer:
Let's think step by step.

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Suppose that the number $a$ satisfies the equation $4 = a + a^{ - 1}.$ What is the value of $a^{4} + a^{ - 4}?$
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