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Addula Rajender Reddy

· started a discussion

· 1 Months ago

a+1/a can not be less than 2

Question:
If a + \(\cfrac{1}{a}\)  = \(\sqrt{3}\), then the value of a18 + a12 + a6 + 1 is –
Options:
A) 0
B) 1
C) -1
D) 4
Solution:
Ans: (a)  

a18 + a12 + a6  + 1 

= a12 (a6 +1) + 1 (a6 + 1)

\(\therefore \)  

=  (a12 + 1) (a6 +1) 

= (a12 + 1) × 0 = 0 

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
Its obviously less than 2 because its equal to root 3 and root 3 = 1.73 which is less than 2.
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