Difference between revisions of "AoPS Wiki:Problem of the Day/September 9, 2011"
(Created page with "Assume that <math>a</math>, <math>b</math>, and <math>c</math> are roots of <cmath>2x^3-2x^2-x+4.</cmath> Let <cmath>\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}</cmath> be equal ...") |
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<cmath>\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}</cmath> | <cmath>\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}</cmath> | ||
be equal to <math>-p/q</math>, where <math>p</math> and <math>q</math> are relatively prime positive integers. Find <math>p+q</math>. | be equal to <math>-p/q</math>, where <math>p</math> and <math>q</math> are relatively prime positive integers. Find <math>p+q</math>. | ||
| + | <noinclude>[[category:Problem of the Day]]</noinclude> | ||
Latest revision as of 17:00, 9 September 2011
Assume that 
, 
, and 
are roots of
![\[2x^3-2x^2-x+4.\]](http://latex.artofproblemsolving.com/9/f/d/9fd614492234899d88b3cc60bd14f449a856c399.png)
Let
![\[\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}\]](http://latex.artofproblemsolving.com/a/f/1/af13a030867e46d4574f9c98218578a298c21f35.png)
be equal to 
, where 
and 
are relatively prime positive integers. Find 
.
