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Posts tagged with factorising

You can’t build these gates with Lego!

April3

Researchers at Oxford University have set a new speed record for the ‘logic gates’ that form the building blocks of quantum computing – a technology that has  the potential to dwarf the processing power of today’s classical computers. The Oxford team is using a trapped-ion technique to develop its computer, in which logic gates place […]

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Practical Algebra – factors of car number plates!

January27

Every student sees car number plates almost every day. There are some great variations between countries but most have a number on them. A great way to get better at Algebra is to practice finding factors of car numbers on the licence plate. Of course, this is called “factorising” but whichever way you define it […]

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The Quadratic Formula

August15

The Quadratic Formula is widely used in senior high school Mathematics. Click here for more explanation and examples of its use:

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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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