Question

please explain , best answer will be brainlisted

Answer 1

$\alpha = \frac{ - b}{a} \\ \\ \beta = \frac{c}{a} \\ \\ a = 4 \: \: \: \: \: b = - 5 \: \: \: c = - 1 \\ \\ { \alpha }^{2} \beta + \alpha { \beta }^{2} \\ = { (\frac{- 5}{4} )}^{2} . \frac{ - 1}{4} + (\frac{ - 5}{4} ). {( \frac{ - 1}{4} )}^{2} \\ \\ \frac{ - 25}{64} + ( \frac{ - 5}{64} ) \\ \\ \frac{ - 30}{64}$

Answer 2

Thats the right one for sure.