a - (1/a) = 3 হলে, a2

a - (1/a) = 3 হলে, a² - 1/a² = কত?

A 6

B 9

C 11

D 3√13

Solution

Correct Answer: Option D

দেওয়া আছে,
a - (1/a) = 3
⇒ {a + (1/a)}² - 4 a . (1/a) = 9
⇒ {a + (1/a)}² - 4 = 9
⇒ {a + (1/a)}² = 13
⇒ a + (1/a) = √13

এখন, a² - 1/a² = {a + (1/a)} {a - (1/a)} = 3√13

Solution

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