Question 117

If the average of x and $$\frac{1}{x}$$ be 1, then the value of $$x^{10}+\frac{1}{x^{10}}$$ is

Solution

here it is given that

$$x + \frac{1}{x}$$ = 2

and it is possible only when x = 1

and hence we will put x = 1 in $$x^{10} + \frac{1}{x^{10}}$$ = 1 + 1 = 2

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