Difference between revisions of "2016 AMC 12A Problems/Problem 24"
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<math>\textbf{(A)}\ 8\qquad\textbf{(B)}\ 9\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 11\qquad\textbf{(E)}\ 12</math> | <math>\textbf{(A)}\ 8\qquad\textbf{(B)}\ 9\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 11\qquad\textbf{(E)}\ 12</math> | ||
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| + | ==Solution== | ||
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| + | ==See Also== | ||
| + | {{AMC12 box|year=2016|ab=A|num-b=23|num-a=25}} | ||
| + | {{MAA Notice}} | ||
Revision as of 18:35, 5 February 2016
Problem
There is a smallest positive real number 
such that there exists a positive real number 
such that all the roots of the polynomial 
are real. In fact, for this value of the value of is unique. What is this value of ?
Solution
See Also
| 2016 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 23 |
Followed by Problem 25 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
