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Because the center line of the total eclipse Monday will be one town over from mine (3 min 42 sec of totality), I was looking into how dark I can expect the sky to be. I found this article, which contained this video, which I found interesting mathematically: Two things seem wrong to me...

Lately, whenever I make a word bold or italic, or apply a color, or, as I just found out, a link, the same thing is done to every paragraph after the one I'm working in. As a result, I have to undo the unwanted changes. Is this due to some recent upgrade to the software, or is it somehow just...

I don't see a way to make simple subscripts or superscripts (without using Latex or knowing tags). Is that possible, to help out newcomers? Also, it would be really nice to be able to quickly insert special characters, rather than going somewhere else and pasting them in. Is that a possible...

You didn't state how your colleague was thinking, but possibly he saw to negatives in a row and thought the cancel, as they would in 4 - (-3). The trouble here is that in between them, logically, there is a squaring, which changes the sign. Ultimately, this would be an "order of operations" issue.

This will not obtain all solutions; don't forget to consider unstated assumptions! There's a reason the problem asked explicitly for "all real numbers x".

When I teach a course using such software, it provides a way to contact your instructor when you have questions. I tell the students that if they question its judgment of their answer, they can use that mechanism to show me the question and their answer; I can then either tell them that they are...