Can the expression $x^{2} - 5x + 2$ be rewritten as a special products formula?

Question

Can I write $x^{2} - 5x + 2$ as a difference of squares, square of sum or square of difference?

Answer 1

$x^2 - 5x +2 = (x - 2.5)^2 - 4.25 = (x - 2.5)^2 - (\sqrt{4.25})^2 = (x - 2.5)^2 + (\sqrt{4.5}i)^2$

Hence, it can be written as difference of squares and sum of square.