Question 3

If $$X+\frac{4}{X}=4$$, then find the value of $$X^6+1$$.

Solution

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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