the product of 3 integer x,y,z is 192 . z = 4 and t is equal to average? of x and y . what is the minimum posible value of t?


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Question Number 76872 by john santu last updated on 31/Dec/19

$t h e p r o d u c t o f 3 i n t e g e r x, y, z i s 192$ $. z = 4 a n d t i s e q u a l t o a v e r a g e ?$ $o f x a n d y . w h a t i s t h e m i n i m u m$ $p o s i b l e v a l u e o f t ?$
Commented by mr W last updated on 31/Dec/19

$t = \frac{x + y}{2} = \frac{1}{2} (x + \frac{48}{x})$ $t_{m i n} = t (- 1) = - \frac{49}{2}$
Commented by jagoll last updated on 31/Dec/19

$t h i s p r o b l e m a p p l i e s t o n e g a t i v e$ $i n t e g e r s i r ?$
Commented by mr W last updated on 31/Dec/19

$i f o n l y p o s i t i v e i n t e g e r s a r e a l l o w e d,$ $t h e n t_{m i n} = t (6) = t (8) = \frac{1}{2} (6 + \frac{48}{6}) = 7$
Commented by john santu last updated on 31/Dec/19

$t h a n k s s i r$
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