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

hard

$$2x^2-16x-21=0$$One solution to the given equation can be written as $x=h-\frac{1}{2}\sqrt{k}$, where $h$ and $k$ are integer constants. What is the value of $h+k$?

A

$110$

B

$53$

C

$26$

D

$18$