1.

If ( x-1/x )=5, find the value of (i) x2+1/x2) and (ii) (x4+1/x4)

Answer»

( 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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