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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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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Question : If $\left (4x+\frac{1}{x} \right)=5,x\neq 0,$ then the value of $\frac{5x}{4x^{2}+10x+1}$ is:
Question : If $(a+\frac{1}{a})^{2}=3$, then the value of $(a^{6}-\frac{1}{a^{6}})$ will be:
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