Question

Use the discriminant to describe the roots of each equation. Then select the best description.

3x2 - 2 + 7x = 0

Answer 1

discriminant is (-2)^2 - 4*3 * 7

= 4 - 84 = -80

there are 2 roots both complex numbers

Answer 2

`\bf 3x^2-2+7x=0\implies \begin{array}{llccll} &{{ 3}}x^2&{{ +7}}x&{{ -2}}&=0\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \\\\\\ discriminant\implies b^2-4ac= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}`