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

hard

The function $v$ is defined by the equation $v(x)=x^2+bx+c$, where $b$ and $c$ are constants. In the xy-plane, the graph of $y=v(x)$ passes through the points $(0,-77)$ and $(11,0)$. If $v(q)=0$, which of the following could be the value of $q$?

A

-7

B

-5

C

5

D

7