SOLUTION: If a number is subtracted from its square, the result is 2. Find the number. The length of a rectangle is 4 cm longer than the width. If the perimeter of the rectangle is 20 cm

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Question 40013: If a number is subtracted from its square, the result is 2. Find the number.
The length of a rectangle is 4 cm longer than the width. If the perimeter of the rectangle is 20 cm what is the area? Area=___cm^2
thanx
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
Let number be x.
Its square is therefore x%5E2

So: a number is subtracted from its square: +x%5E2+-+x+
and this equals 2 --> +x%5E2+-+x+=+2+

so, +x%5E2+-+x+-+2+=+0+ is a quadratic to solve.
(x-2)(x+1) = 0
(x-2) = 0 or (x+1) = 0
x=2 or x=-1

these are your 2 possible answers

jon.