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Algebra – Xposed!


“In algebra, x can be anything: 12, -47, a billion—the sky’s the limit. And by the time you finish this book, you’ll be a master at solving for x and a ton of other algebra topics. But can you imagine if when we solved for x, we started by stereotyping it, shutting out a whole range of possible solutions? Like, “Hmm, I just don’t think x could be a very big number; I mean look, it’s so little.”

I know it sounds crazy, but this happens all the time in life. The x you’re solving for is your future, and it, too, can be anything. But you’d be surprised how many people stereotype themselves, shutting out a whole range of possibilities for their future. I almost did. Although I got good grades, deep down I believed that no matter how many A’s I might get, it was only a matter of time before I would fail and the truth would come out: I just wasn’t a math person.” extract from Algebra Exposed by Danica McKellar

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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