2013 AMC 10B Problems/Problem 19: Difference between revisions
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The real numbers<math>c,b,a</math> form an arithmetic sequence with <math>a\ge b\ge c\ge 0</math> The quadratic <math>ax^2+bx+c</math> has exactly one root. What is this root? | ==Problem== | ||
The real numbers <math>c,b,a</math> form an arithmetic sequence with <math>a\ge b\ge c\ge 0</math> The quadratic <math>ax^2+bx+c</math> has exactly one root. What is this root? | |||
<math> \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} </math> | <math> \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} </math> | ||
Revision as of 19:04, 21 February 2013
Problem
The real numbers 
form an arithmetic sequence with 
The quadratic 
has exactly one root. What is this root?
