Question

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions represent?

Answer 1

`\bf (x)(x+2)=255\implies x^2+2x=255\implies x^2+2x-255=y \\\\ \textit{setting y=0}\implies x^2+2x-255=0 \\\\ \textit{now, factoring that} \\\\ (x+17)(x-15)=0\implies \begin{cases} x=-17\\ x=15 \end{cases}`

notice the picture of the graph added here
low and behold, x = -17, y is 0, and x= 15, y is 0
the graph is touching the x-axis, an x-intercept
or so-called, a "solution"