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

hard

$$2x^2-8x-21=0$$
One solution to the given equation can be written as $x=h-\frac{\sqrt{k}}{2}$, where $h$ and $k$ are integer constants. What is the value of $h+k$?

A

2

B

10

C

29

D

60