If $${\text{2}}x - \frac{1}{{2x}} = 5{\text{,}}$$ $${\text{x}} \ne {\text{0,}}$$ then find the value of $${x^2} + \frac{1}{{16{x^2}}} - 2$$ = ? Options: A . &nbsp$$\frac{{19}}{4}$$ B . &nbsp$$\frac{{23}}{4}$$ C . &nbsp$$\frac{{27}}{4}$$ D . &nbsp$$\frac{{31}}{4}$$

If $${\text{2}}x - \frac{1}{{2x}} = 5{\text{,}}$$ $${\text{x}} \ne {\text{0

Question

If $${\text{2}}x - \frac{1}{{2x}} = 5{\text{,}}$$ $${\text{x}} \ne {\text{0,}}$$ then find the value of $${x^2} + \frac{1}{{16{x^2}}} - 2$$ = ?

Options:

A . $$\frac{{19}}{4}$$

B . $$\frac{{23}}{4}$$

C . $$\frac{{27}}{4}$$

D . $$\frac{{31}}{4}$$

Answer: Option A

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