Difference between revisions of "1987 AHSME Problems/Problem 23"

(Created page with "==Problem== If <math>p</math> is a prime and both roots of <math>x^2+px-444p=0</math> are integers, then <math>\textbf{(A)}\ 1<p\le 11 \qquad \textbf{(B)}\ 11<p \le 21 \qquad \...")
 
m (See also)
Line 12: Line 12:
  
 
== See also ==
 
== See also ==
{{AHSME box|year=1987|num-b=21|num-a=23}}   
+
{{AHSME box|year=1987|num-b=22|num-a=24}}   
  
 
[[Category: Intermediate Algebra Problems]]
 
[[Category: Intermediate Algebra Problems]]
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 07:51, 23 October 2014

Problem

If $p$ is a prime and both roots of $x^2+px-444p=0$ are integers, then

$\textbf{(A)}\ 1<p\le 11 \qquad \textbf{(B)}\ 11<p \le 21 \qquad \textbf{(C)}\ 21< p \le 31 \\ \qquad \textbf{(D)}\ 31< p\le 41\qquad \textbf{(E)}\ 41< p\le 51$


See also

1987 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 22
Followed by
Problem 24
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 26 27 28 29 30
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png