My manager talked me into buying Diablo IV since I was into DnD.

I don’t know why people play games that require grinding when there are so many better options.

I’m an engineering major, we learn all of the edge cases as “well technically this isn’t always true, but we’ll just pretend it is because the results are close enough”

Every value of Y works for X=0, the equation simplifies to Y=Y, so X=0 is just like Y=9.

In the limit as X->infinity, you get Y = 9 again.

X(1+Y) + Y = 10*X + Y lim X->inf Assuming Y is finite, you drop the non-X terms

X(1+Y) = 10*X lim x->inf

Here, because X is non-zero and equal to itself, you can cancel them (I assume, IANA Mathematician) 1 + Y = 10 Y = 9

ps, top, and kill along with GIMP aren’t good enough?

I do like the pretty charts though so I can see how close my GPU is to melting.

Huh, that’s true of any number that ends in 9.

XY + X + Y = 10*X + Y

Y’s cancel,

XY = 9X => Y = 9 for any non-zero finite value of X.

so for 69? X = 6, Y=9

(6*9) + 6 + 9 = 10*6 + 9

54 + 15 = 69

69 = 69 (nice!)

429? X = 42 Y = 9

(42*9) + 42 + 9 =10*42 + 9

(378) + 51 = 429

429 = 429

Even if 10X+Y doesn’t equal something that ends in 9 it works

X=3.14 Y=9

(3.14*9) + 3.14 + 9 = 10*3.14 + 9

28.26 + 12.14 = 40.4

40.4 = 40.4

Doesn’t work if Y =\= 9:

68? X = 6 Y = 8

(6*8) + 6 + 8 ?= 10*6 + 8

(48) + 14 ?= 68

62 =\= 68