Posted by Rae Rae on Sunday, April 5, 2009 at 2:50pm.
I think its a perfect square trionomial because you can square 4^2 to get 16 and 8^2 to get 64
(x - 8)(x - 8 )
first condition:
the first and last terms must be perfect squares, and they must both be positive
second condition:
the square root of the first term times the square root of the last term, then doubled, should be equal to the middle term.
e.g.
25x^2 + 60xy + 36y^2
square root of first: 5x
square root of last : 6y
product: 30xy
doubled: 60xy , so YES
e.g.
x^4 - 10x^2 + 25
square root of first: x^2
square root of last: 5
product : 5x^2
doubled : 10x^2, YES!
does that make sense?
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