Question

Please answer someone

Answer 1

${x}^{2} - x - 3 = 0 \\ \\ \alpha + \beta = \frac{ - b}{a} \\ \\ \alpha \beta = \frac{c}{a} \\ \\ \alpha + \beta = \frac{1}{1} = 1 \\ \\ \alpha \beta = \frac{ - 3}{1} = - 3 \\ \\ 1) { \alpha }^{2} + { \beta }^{2} = {1}^{2} + ( { - 3)}^{2} \\ \\ { \alpha }^{2} + { \beta }^{2} = 1 - 9 = - 8 \\ \\ 2) { \alpha }^{3} + { \beta }^{3} = {1}^{3} + ( { - 3)}^{3} \\ \\ { \alpha }^{3} + { \beta }^{3} = 1 - 27 = - 26 \\ \\ hope \: it \: helps \: you \\ \\ mark \: me \: as \: brainliest$