Question

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

3x2 - 2 + 7x = 0

-7/6 +/- sqrt73/6
7/6 +/- sqrt73/6
-7/6 +/- i sqrt73/6
7/6 +/- isqrt73/6

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 = ( - b + √(d) )/(2a) = ( - 7 + √(73) )/(6) \: \: \: \: \: ans.\\ \\ also \: \: , \\ \\ x = ( - b - √(d) )/(2a) = ( - 7 - √(73) )/(6) \: \: \: \: \: \: ans.`