Question

Please help! This assignment is due today and I don't understand it.

Answer 1

`\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{+2}=y ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ (4)^2-4(2)(2)\implies \text{\LARGE 0}\qquad \stackrel{\textit{two real positive solutions}}{\textit{two x-intercepts}}`