Difference between revisions of "2018 AIME II Problems/Problem 6"
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are all real can be written in the form <math>\dfrac{m}{n}</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m + n</math>. | are all real can be written in the form <math>\dfrac{m}{n}</math>, where <math>m</math> and <math>n</math> are relatively prime positive integers. Find <math>m + n</math>. | ||
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| + | {{AIME box|year=2018|n=II|num-b=5|num-a=7}} | ||
| + | {{MAA Notice}} | ||
Revision as of 23:29, 23 March 2018
Problem
A real number 
is chosen randomly and uniformly from the interval ![$[-20, 18]$](http://latex.artofproblemsolving.com/5/e/d/5ed3fd299f7f005431bef3d44f28cf5f7494b169.png)
. The probability that the roots of the polynomial
are all real can be written in the form 
, where 
and 
are relatively prime positive integers. Find 
.
| 2018 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
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