Question 148

If $$x +\frac{1}{x}=3,$$ then the value of $$x^{2} + \frac{1}{x^{2}}$$ is

Solution

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Given, $$x +\frac{1}{x} = 3$$

Squaring on both sides, we get

$$x^{2} + \frac{1}{x^{2}} + 2 = 9$$

$$x^{2} + \frac{1}{x^{2}} = 7$$

Hence, option D is the correct answer.

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