Consider the equation \( \log _{2}^{2} x-4 \log _{2} x-m^{2}-2 m-13... VIDEO
Consider the equation \( \log _{2}^{2} x-4 \log _{2} x-m^{2}-2 m-13=0, m \in R \). Let the real roots of the
P equation be \( x_{1}, x_{2} \) such that \( x_{1}x_{2} \). The sum of maximum value of \( x_{1} \) and minimum value of \( x_{2} \) is :
\( \mathrm{W} \)
(a) \( \frac{513}{8} \)
(b) \( \frac{513}{4} \)
(c) \( \frac{1025}{8} \)
(d) \( \frac{257}{4} \)
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