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AMC 10 Mock Exam Discussion For 9/18: Question 19

 
 
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AMC 10 Mock Exam Discussion For 9/18: Question 19
Lensmire John發表於2023年 09月 18日(Mon) 14:33
 

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?

$\displaystyle \textbf{(A) } -7-4\sqrt{3}\qquad\textbf{(B) } -2-\sqrt{3}\qquad\textbf{(C) } -1\qquad$

$\textbf{(D) } -2+\sqrt{3}\qquad\textbf{(E) } -7+4\sqrt{3}$

Submit your answer and solution and explanation below! Solutions will be accepted for 48 hours until 9/20 at 2pm Pacific Time. (There's still time for yesterday's problem too: click here.)

Top solutions for all the Mock Exam questions will be collected and shared as part of a full 25 Question Mock AMC 10 Exam.

Note: The question above is a past AMC problem. Solutions submitted must be written by students. Copied solutions will be disqualified.