Difference between revisions of "1978 AHSME Problems/Problem 14"
(Created page with " Assuming the solutions to the equation are n and m, by Vieta's formulas, <math>n_n + m_n = 18_n</math>. <math>n_n = 10_n</math>, so <math>10_n + m_n = 18_n</math>. <cm...") |
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Revision as of 23:42, 23 October 2018
Assuming the solutions to the equation are n and m, by Vieta's formulas, 
.
, so 
.
![\[m_n = 8_n\]](http://latex.artofproblemsolving.com/b/8/c/b8c57a634afb792fabbb95c92c13e4aa2d0e88b5.png)
.
Also by Vieta's formulas, 
.
![\[10_n \cdot 8_n = \boxed{80_n}\]](http://latex.artofproblemsolving.com/b/e/b/beb4ec53090d0593057bc99fe0519abd398fb0a9.png)
.
The answer is (C) 
