If x4 +  = 194 and x3 +  = ?

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 3)
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  1. 52
  2. 58
  3. 76
  4. 67

Answer (Detailed Solution Below)

Option 1 : 52
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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Given:

 x4 +  = 194 

Calculations:

According to question,

x4 +  = 194 

⇒x² + 1/x² = √(194 + 2)

⇒x² + 1/x² = 14

⇒x + 1/x = √(14 + 2) = √16 = 4

now, x³ + 1/x³

= 4³ - 3(4)

= 64 - 12

= 52

Hence, The Required value is 52.

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