what is the answer of this question
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Here is the answer for your question
X + 1/X = 5
Squaring both the sides
1) (X + 1/X )² = 5²
X²+1/X² + 2(X)×(1/X) = 25
X²+1/X² + 2 = 25
X²+1/X²= 25 - 2
X²+1/X² = 23 ------- ( equation 1 )
Hope it helps
2) X⁴+1/X⁴=??
X²+1/X² = 23 ( from Eq. 1 )
Squaring both the sides
( X²+1/X²) ² = 23²
(X²)² + (1/X²)² + 2(X²)(1/X²) = 529
X⁴+1/X⁴ + 2= 529
X⁴+1/X⁴ = 529-2
= 527
Therefore the answer is 527
Hope it helps
X + 1/X = 5
Squaring both the sides
1) (X + 1/X )² = 5²
X²+1/X² + 2(X)×(1/X) = 25
X²+1/X² + 2 = 25
X²+1/X²= 25 - 2
X²+1/X² = 23 ------- ( equation 1 )
Hope it helps
2) X⁴+1/X⁴=??
X²+1/X² = 23 ( from Eq. 1 )
Squaring both the sides
( X²+1/X²) ² = 23²
(X²)² + (1/X²)² + 2(X²)(1/X²) = 529
X⁴+1/X⁴ + 2= 529
X⁴+1/X⁴ = 529-2
= 527
Therefore the answer is 527
Hope it helps
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