If one root of the equation ${x^2} + px + 12 = 0$ is 4, while the equation ${x^2} + px + q = 0$ has equal roots, then the value of $'q'$ is

Question

If one root of the equation ${x^2} + px + 12 = 0$ is 4, while the equation ${x^2} + px + q = 0$ has equal roots,
then the value of $'q'$ is

${{49} \over 4}$

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