if x-1/x=√5,find the value of ;
(i) x2+1/x2 (ii) x4+1/x4
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Answer: x² + 1/x² = 27 x⁴ + 1/x⁴ = 727
Step-by-step explanation:
( x - 1/x ) = 5
Square on both sides,
( x - 1/x )² = 5²
=> x² + 1/x² - 2 = 25
=> x² + 1/x² = 27 [ 1 answer ]
Again square on both sides,
=> ( x² + 1/x² )² = 27²
=> x⁴ + 1/x⁴ + 2 = 729
=> x⁴ + 1/x⁴ = 727
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