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Watch those double negatives!

June17

Every young mathematician knows the square roots of simple squared numbers, right? For example;
root4

. Also, our growing mathematicians know that a minus x a minus = +. However, this concept is not easily conveyed when we speak in English. For example, if you say, “I don’t have no time to do this.” then you are effectively saying a double negative (“don’t” and “no”) which is a positive. You are actually saying “I have time to do this.” Therefore (whenever you see a “therefore” ask yourself, “what is it there for“!), do take care with double negatives!!

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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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