Question 52

If $$x - \frac{2}{x} = 15$$, then what is the value of $$\left(x^2 + \frac{4}{x^2}\right)$$?

Solution

$$x-\frac{2}{x}=15$$

Squaring on both sides,

$$x^2+\frac{4}{x^2}-2.x.\frac{2}{x}=225$$

$$x^2+\frac{4}{x^2}-4=225$$

$$x^2+\frac{4}{x^2}=229$$

Hence, the correct answer is Option A


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