Question

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

Answer 1

◆ QUADRATIC RESOLUTIONS ◆

$given \: \: equation \: \: - \\ \\ 3 {x}^{2} +7x - 2 = 0 \\ \\ here \: a = 3 \: \: , \: \: b = 7 \: , \: \: c = - 2 \\ therefore \: \: , \\ discriminant \: = {b}^{2} - 4ac = 7 3 \\ \\ using \: quadratic \: formula \: \: , \\ \\ x = \frac{ - b + \sqrt{d} }{2a} = \frac{ - 7 + \sqrt{73} }{6} \: \: \: \: \: ans.\\ \\ also \: \: , \\ \\ x = \frac{ - b - \sqrt{d} }{2a} = \frac{ - 7 - \sqrt{73} }{6} \: \: \: \: \: \: ans.$