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

hard

$y=x-c$ $y=-4(x-8{)}^2$

In the given system of equations, $c$ is a constant. The system has two distinct real solutions. Which of the following could be the value of $c$?

A

3

B

7

C

$\frac{127}{16}$

D

13