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3 Principles of Mathematics


Mathematics is true: students know this, since there‚Äôs always a correct answer. The philosophers ask, “What is truth?” but the mathematician replies “Mathematics is Truth.” Mathematics is orderly: Algebra requires arithmetic, Trigonometry requires algebra, Geometry requires both. Mathematics teaches us about infinity: For any number, no matter how big, you can always find a bigger […]

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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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