a – (1/a) = 3 হলে, a4 + 1/a4 = ?
Solution
Correct Answer: Option B
দেওয়া আছে,
a – (1/a) = 3
বা, {a – (1/a)}² = 3² = 9
বা, a² – 2 + (1/a)² = 9
বা, a² + (1/a²) = 11
∴ a4 + 1/a4 = (a² + 1/a²)² - 2 . a2 . (1/a2)
= 11² - 2
= 121 - 2
= 119
সুতরাং, a⁴ + 1/a⁴ = 119
a – (1/a) = 3
বা, {a – (1/a)}² = 3² = 9
বা, a² – 2 + (1/a)² = 9
বা, a² + (1/a²) = 11
∴ a4 + 1/a4 = (a² + 1/a²)² - 2 . a2 . (1/a2)
= 11² - 2
= 121 - 2
= 119
সুতরাং, a⁴ + 1/a⁴ = 119
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