February 24, 2017

Homework Help: Maths

Posted by Mea C on Wednesday, February 3, 2010 at 4:09am.

Please help with these questions:
(please show how to do)

1. How many differently shaped rectangles, with positive integer dimensions, have a perimeter equal to their area?

2. Let x be any number less than one, and let y be any number greater than one.
S= x + y
P= xy

Prove that the difference between S and P must be greater than 1.

3. Prove that it is impossible to find four distinct numbers P,Q,R,S which satisfy the equation
pq+rs = ps+qr

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