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

hard

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 $h+k$? $2x^2-8x-21=0$

A

$-24$

B

$10$

C

$29$

D

$60$