AMC 10 Mock Exam Question 19
The real numbers $c$, $b$, $a$ form an arithmetic sequence with $a \geq b \geq c \geq 0$. The quadratic $ax^2+bx+c$ has exactly one root. What is this root?
$\displaystyle \textbf{(A) } -7-4\sqrt{3}\qquad\textbf{(B) } -2-\sqrt{3}\qquad\textbf{(C) } -1\qquad$
$\textbf{(D) } -2+\sqrt{3}\qquad\textbf{(E) } -7+4\sqrt{3}$
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