help in one of my classrooms, and one of the Halpers posted. Is this a glitch or a bug(see screenshot)?
be positive reals such that 
.
![\[
M = \frac{1 - x^2}{x^2} + 2y^2 + 3x + \frac{24}{y} + 2025.
\]](http://latex.artofproblemsolving.com/6/b/d/6bd846ab0f95b1cf4766c7bf0356a439f3bfc93a.png)
. Prove that
consists of the union of disjoint pieces. Compute the distance between the endpoints of any one piece
and 
Show that
Let 
Show that
and 
Show that
Let 
Show that
Let 
Show that
so that any two different points in the graph of the quadratic function 
are not symmetrical to the straight line 
such that
x>y>0
2
,
and 
lie on the side 
,
.
is the midpoint of 
.
.
Y by PikaPika999
Since thiers a new CEO now for AOPS and its 2025, will we see AOPS integrate artificial intelligence into its programs in but not limited to alcumus, not like totally changing it, for example maybe their could be an insights area where its composed about the problems you most frequently missed and other features, tysm for reading this.
