Math, asked by apoorvaa432, 6 months ago

if a+1/a=3 find a2+1/a2​

Answers

Answered by TheLogophile
4

Answer:

{a + (1/a)}2 = a2 + (1/a2) + 2

⇒ (3)2 = a2 + (1/a2) + 2

⇒ 9 = a2 + (1/a2) + 2

⇒ 9 -2 = a2 + (1/a2)

⇒ 7 = a2 + (1/a2)

∴ a2 + (1/a2) = 7

Alternative Method:

a + (1/a) = 3

⇒ {a + (1/a)}2 = (3)2

⇒ a2 + (1/a2) + 2 =9

⇒ a2 + (1/a2) = 9 -2

⇒ a2 + (1/a2) = 7

Hope it helps mark as brainliest

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