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If 4b2+1/b2 = 2, then the value of 8b3+1/b3 is :

(1) 0 (2) 1 (3) 2 (4) 5

Solution:

(2b+1/b)2

= 4b2+1/b2+2*2b*1/b =2 + 4 = 6

⇒ 2b+1/b =√6

.’. 8b3+1/b

= (2b+1/b)3 -3*2b*1/b(2b+1/b)

= (√6)-6(√6)

= 6(√6) – 6(√6) =0

Then the option is (1)

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