Question : If $a+\frac{1}{a}=2$, then the value of $(a^{5}+\frac{1}{a^{5}})$ will be:
Option 1: 0
Option 2: 1
Option 3: 3
Option 4: 2
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Answer (1)
16th Jan, 2024
Correct Answer: 2
Solution :
Given: $a+\frac{1}{a} = 2$
If we take $a=1$, then LHS = $1+\frac{1}{1}=2$ = RHS
So, $a=1$ satisfies the equation.
Now, $a^5+\frac{1}{a^5}=1^5+\frac{1}{1^5}=2$
Hence, the correct answer is 2.
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