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Friday Math Quiz: Show That ...

I went to a mini-reunion with a few friends from my high school class up in Chicago last weekend (and got caught in the blizzard on the way back, but that's another story.)

I was reminded of the math that we did in high school, and what fun and challenge it was. Here's a problem from ninth grade:

Q: Given

x2 + y2 ≤ 1,

show that

|x2 + 2 x y - y2| ≤  2  .

Can your ninth grader solve this problem?

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Re: Friday Math Quiz: Show That ...

Square the second one, subtract the first one and isn't that obvious? No, an average 9-grader can't do that (not that I have any), but I hope my first-year university student kid should be able to.

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