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

hard

The solutions to $x^2-3x-7=0$ are $\frac{3-\sqrt{p}}{2}$ and $\frac{3+\sqrt{p}}{2}$. If the solutions to $x^2-17x+c=0$, where $c$ is a constant, are $\frac{17-\sqrt{p}}{2}$ and $\frac{17+\sqrt{p}}{2}$, what is the value of $c$?

A

2

B

49

C

63

D

There is not enough information to determine the value of $c$.