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Nagalakshmi

· started a discussion

· 1 Months ago

Explain it

Question:

If \(\left (a + \cfrac {1}{a} \right )^2\) = 3, then the value of a3 +  \(\cfrac{1}{a^3}\)  is :

Options:
A) 0
B) 1
C) 2
D) 6
Solution:
Ans: (a)  


Knowledge Expert

· commented

· 1 Months ago

Dear student,
Given answer is correct
( a + 1/a ) = root 3
Formula.-
(x^3 + 1/x^3 ) = ( x + 1/x)^3 - 3 ( x + 1/x)
= (root 3)^3 - 3root3
= 3root3 - 3root3
= 0

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