Question

What is the value of the discriminant, b^2-4ac, for the quadratic equation 0=-2x

Answer 1

`\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{-3}x\stackrel{\stackrel{c}{\downarrow }}{+8} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ (-3)^2-4(-2)(8)\implies 9+64\implies 73`

notice, is positive.