1.

If a + 1/a = 5, then find the value of a4 + 1/a4 1. 5292. 5253. 5234. 527

Answer» Correct Answer - Option 4 : 527

Given :

a + 1/a = 5

Formula Used:

 (a + b)2 = a2 + b2 +2ab

Calculations:

Squaring the given equation :

(a + 1/a)2 = 25

⇒ a2 + 1/a2 + 2 = 25

⇒ a2 + 1/a2 = 23

Squaring the above equation :

(a2 + 1/a2)2 = 232

⇒ a4 + 1/a4 + 2 = 529

⇒ a4 + 1/a4 = 527


So, the correct answer is 527.



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