OK, Leo....!!!!
x^2 + y^2 + 2x - 4y - 8 complete the square on x and y
x^2 +2x + 1 + y^2 - 4y + 4 - 1 - 4 factor
(x + 1)^2 + (y - 2)^2 - 5
The minimum value of -5 will be achieved when x = -1 and y = 2
See my answer here:
https://web2.0calc.com/questions/help_9450
The difference of 8 and 9 =
8 - 9 =
8 + (-9)
Let the roots be x, y , z
So
[ log 2 x + log 2 y + log 2 z ] = 5
log 2 (xyz) = 5
2^5 = xyz
xyz = 32
And the product of the roots = -a/ 8
xyz = -a / 8
32 = -a / 8
256 = - a
a = -256
Here : https://web2.0calc.com/questions/3d-geometry-please-help
Hey....that sounds like a ot of fun.....(except the mosquito part )
True.....
Very nice, hureka!!!!
No prob...!!!!