X + \(\frac{1}{x}\) = 9 எனில், X 4 + \(\frac{1}{x^4}\) .

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. 5431
  2. 6561
  3. 6156
  4. 6239

Answer (Detailed Solution Below)

Option 4 : 6239
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Detailed Solution

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கொடுக்கப்பட்டது

(x + 1/x) = 9

பயன்படுத்தப்பட்ட கருத்து

என்றால் (a + 1/a) = k

(a 2 + 1/a 2 ) = K 2 - 2

கணக்கீடு

(a 2 + 1/a 2 ) = K 2 - 2

(x 2 + 1/x 2 ) = 9 2 - 2

(x 2+ 1/x 2 ) = 79

(x 4 + 1/x 4 ) = 79 2 - 2

(x 4 + 1/x 4 ) = 6241 - 2

⇒ 6239

வெளிப்பாட்டின் மதிப்பு 6239.

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