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Posts tagged with square root of 2

Irrational Numbers are the never-stay-still numbers!


Yes, irrational numbers are encountered in junior high school. These are like those friends of yours who never stay still in one place. Our mathematical definition is that irrational numbers have decimal expansions that keep on going. They are not rational numbers that can be shown as a simple fraction (one integer divided by another […]

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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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