Difference between revisions of "2005 AMC 10B Problems/Problem 16"

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(Solution)
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== Problem ==
 
== Problem ==
 
== Solution ==
 
== Solution ==
 
x^2+mx+n=0
 
Roots: 2a, 2b
 
2a + 2b = 2(a+b) = -m
 
2a • 2b = 4ab = n
 
 
x^2+px+m=0
 
Roots: a, b
 
a + b = -p
 
ab = m
 
 
Use substitution:
 
 
/frac{n}{p}
 
= /frac{4ab}{-(a+b)}
 
= /frac{8ab}{-2(a+b)}
 
= /frac{8m}{m}
 
= 8
 
 
Our answer is 8.
 
  
 
== See Also ==
 
== See Also ==
 
*[[2005 AMC 10B Problems]]
 
*[[2005 AMC 10B Problems]]

Revision as of 17:20, 19 January 2010

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