Question

If p = 5 - 2 root 6, find p^2 - 1/p^2

Answer 1

Answer:

98

Step-by-step explanation:

p = 5 - 2√6

p² = (5 - 2√6)²

    = 25 + 24 - 20√6

    = 49 - 20√6

1/p = 1 / 5-2√6

      = 1 / 5-2√6 *  5+2√6 / 5+2√6

      = 5+2√6 / 25 - 24

      = 5 + 2√6

1/p² = (5 + 2√6)²

       = 25 + 24 + 20√6

       = 49 + 20√6

==: p² + 1/p²

==: 49 - 20√6 + 49 + 20√6

==: 98

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