2016 AMC 12A Problems/Problem 24: Difference between revisions
Blanked the page |
No edit summary |
||
| Line 1: | Line 1: | ||
==Problem== | |||
There is a smallest positive real number <math>a</math> such that there exists a positive real number <math>b</math> such that all the roots of the polynomial <math>x^3-ax^2+bx-a</math> are real. In fact, for this value of <math>a</math> the value of <math>b</math> is unique. What is this value of <math>b</math>? | |||
<math>\textbf{(A)}\ 8\qquad\textbf{(B)}\ 9\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 11\qquad\textbf{(E)}\ 12</math> | |||
Revision as of 18:32, 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 ?
