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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

$$\begin{gathered} y=3x^2+22 \\ y=px+19 \end{gathered}$$In the given system of equations, $p$ is a positive constant. The graphs of the equations in the given system intersect at exactly one point, $(x,y)$, in the xy-plane. What is the value of $x$?

A

$41$

B

$25$

C

$6$

D

$1$