No, consider 16 + 25 ...
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Yes because its discriminant is equal to zero
c = 25 4x2 + 20x + 25 (2x + 5)(2x + 5)
52 = 25 This a perfect square. Take the square root of each side and.... 5 = 5
It is not a perfect square. 5-square = 25 6-square = 36 So there cannot be a perfect square between 25 and 36.
The given quadratic expression can not be factored as a perfect square.