Question 84095
{{{x^2 - 24x + 48}}}
Replace the constant term by an unknown constant, c
{{{x^2 - 24x + c}}}
What would c have to be for the expression to be a perfect square?
It would have to be {{{(-24 / 2)^2}}}, or 144
then, c = 144 and
{{{x^2 - 24x + 144 = (x - 12)^2}}}
So, {{{x^2 - 24x + 48}}} is not a perfect square