perplexus.info :: Just Math : Region Division

Region Division (Posted on 2025-01-18)

How many regions does the graph of xy(x + y)(y + x)(x + 2y)(y + 2x) = 0 cut the xy-plane into?

No Solution Yet Submitted by Danish Ahmed Khan

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observation on Desmos weirdness

Comment 3 of 3 |

When graphing implicitly, Desmos really these messes up.

(x+y)^2 shows the line

(x+y)^4 doesn't

https://www.desmos.com/calculator/lmhxos7wzr

But then try

(x+y)(y+x)x=0 or

(x+y)(y+x)y=0 and you don't get the y- or x-axis

(x+y)(y+x)xy=0 gives the two axes but not y=x !

Posted by Jer on 2025-01-20 13:06:55

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