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If $$X+\frac{4}{X}=4$$, then find the value of $$X^6+1$$.
Expression : $$X+\frac{4}{X}=4$$
=> $$\frac{x^2+4}{x}=4$$
=> $$x^2-4x+4=0$$
=> $$(x-2)^2=0$$
=> $$x-2=0$$
=> $$x=2$$
$$\therefore$$ $$X^6+1$$ = $$(2)^6+1$$
= $$64+1=65$$
=> Ans - (B)
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