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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -




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Topic review (newest first)

2005-07-26 14:29:36

You may also remember, given the roots of a quadratic equation, the equation can be got thus:-

x -(Sum of the roots)x + (products of the root) = 0

2005-07-26 07:32:11

Thanks a lot mathsy, I can see what you've done and understand it (but it would be another thing for me to be able to do it).

MathsIsFun, I'll try remember the:
ax + bx + c = 0
x = (-b √(b - 4ac) / 2a

Thanks a lot guys, it's much appreciated!

2005-07-25 23:24:04

oh my days - mathsy - you're clever- how old are you?

2005-07-25 23:03:08

Mathsy has a knack for factorising!

The other way is to use the quadratic formula. You can see that in action here:

2005-07-25 21:45:09

This is a quadratic equation.
Calling the short side 'x', you've got x(x+3)=88.
Multiplying out of brackets gives x+3x=88.
Put it all on one side, because with quadratics that's just what you do: x+3x-88=0
Factorise it: (x+11)(x-8)=0
There's no short way to factorise things, you just get a knack eventually.
Anyway, as (x+11)(x-8)=0, that means that either x-11 or x-8=0, because anything times 0=0.
So, if x+11=0, rearranging gives x=-11. This would be a valid solution if it was a pure question, but as the question is applied to measurements, negative values are ignored.
This leaves x-8=0, which when rearranged gives x=8, which is the answer.
Your room is 8m wide and 11m long.

Sorry if I've been too complicated or patronising.

2005-07-25 21:14:09

I came across this little problem:

A rectangular room is 3 meters longer than it is wide. If the area of the floor is 88 square meters, what is the length and width of the room?

The problem looked a little like a joke, but just for entertainment - I tried solving it. Half an hour later, I had absolutely no idea where to go. (Obviously after a couple of minutes, I couldn't help noticing the answer, but that's not what I am after).

Could anyone please tell me how to solve this "tricky" problem.

BTW, I've had the problem at "(width * 3) + ( width * width) = 88" but I could get no farther.

Thanks for putting my mind to rest.

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