Question

can u give me explanation for this?​

Answer 1

⠀⠀⠀⠀⠀⠀$\sf{:\implies x+\dfrac{1}{x}=2}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies \dfrac{x^{2}+1}{x}=2}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies x^{2}+1=2x}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies x^{2}-2x+1=0}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies (x-1)^{2}=0}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies x-1=0}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies x=1}$

Now,

⠀⠀⠀⠀⠀⠀$\sf{:\implies x^{60}+\dfrac{1}{x^{60}}}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies (1)^{60}+\dfrac{1}{(1)^{60}}}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies 1+\dfrac{1}{1}}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies 1+1}$

⠀⠀⠀⠀⠀⠀$\sf{:\implies 2}$

Hence,

The correct answer is (c) 2

Answer 2

Step-by-step explanation:

Answer in the figure

Hope this will help you