If  then the value of 

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)
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  1. 30
  2. 25
  3. 23
  4. 28

Answer (Detailed Solution Below)

Option 3 : 23
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Detailed Solution

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Given:

Concept used:

If a + 1/a = b, then

a3 + 1/a3 = b3 - 3b

Calculation:

x2 - 5x + 1 = 0

⇒ x2 + 1 = 5x

⇒ x + 1/x = 5

Now,

⇒    [By dividing ]

⇒ 

⇒ 

⇒ 

⇒ 23

∴ The required answer is 23.

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