The value of p $>$ 0, for which both the equations $x^{2} + p x + 64$ = 0 and $x^{2} - 8 x + p$ = 0 have real roots is:

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Solution

The correct option is B
16

for the first equation $p^{2} \geq 4 (64) \Rightarrow p \geq 16$

And for the second equation $64 \geq 4 p \Rightarrow 16 \geq p$

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