/sci/ I beg of you for help. I spent my whole evening trying

>>7790657
X=0
Try to study the variations of 4^x + 2^-x and of 2-x^2 to show this solution is unique

>>7790669 misread your 2 as a 4, but he's right.

x=0 is the only solution. To see this, try graphing both the left side (which is concave up with a minimum at x=0) and the right side (which is concave down with a maximum at x=0). So the two graphs can intersect at only the point (0,2), so the only solution is x=0.

>>7790684
>solve by graphing

u a shit senpai desu

>>7790765
Shit I forgot that it's (2 - x^2) on the right hand side. Oh well you get the idea.

>>7790767
I wouldn't graph it but it helps give OP, at his level, a nice way to see why 0 is the only solution.

>>7790800
>Implying that if he were to graph it infinitely he wouldn't find infinitely many alternative solutions