Question

if x – 1/x = 8, find the value of: (x^2 + 1/x^2) and (x^4 + 1/x^4 )

Answer 1

Answer:

62 and 60

Step-by-step explanation:

x - 1/x = 8    ..........(1)

==: x² + 1/x² = (x - 1/x)² - 2 * x * 1/x

                   = (8)² - 2

                   = 64 - 2

                   = 62     ..........(2)

==: x^4 + 1/x^4 = (x² + 1/x²)² - 2 * x² * 1/x²

                        = 62 - 2

                        = 60

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