## Welcome to H3 Maths

Blog Support for Growing Mathematicians

### All numbers are in our imagination…

August31

…even Imaginary Numbers! Yes, we were all taught in school that you cannot take the square root of a negative number. Quite right! Well, not quite right!! Actually, around a few hundred years ago (early 1600’s), someone (René Descartes actually) thought it might be really useful to be able to find the square root of a negative number, so he thought up the letter “i” to do this for him (“i” for an imaginary number is, after all, pretty imaginative?)”

You can imagine the mathematical confusion that these imaginary numbers caused!

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#### Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

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)?]