2022 AMC 10B Problems/Problem 7
Revision as of 16:25, 17 November 2022 by Stevens0209 (talk | contribs) (Created page with "Using Vieta's Formula, this states: <math>p+q=-k</math> <math>p*q=36</math> (Let <math>p</math> and <math>q</math> be the roots) This shows that p and q must be the factors...")
Using Vieta's Formula, this states:
(Let 
and 
be the roots)
This shows that p and q must be the factors of 
: 
and its negative counterpart.
We cancel out the 
and because the problem states that it wants distinct roots.
Thus, we have a total of 
pairs and another pairs (the negatives), which total us 
.
$\boxed{\textbf{(B) }8$ (Error compiling LaTeX. Unknown error_msg).
