Question

please solve this question ​

Answer 1

Answer:

-145/12

Step-by-step explanation:

3x²+11x-4

a+B= -11/3

a.B= -4/3

a/B+B/a= (a²+B²)/a.B

={(a+B)²-2a.B}/a.B

={(-11/3)²-2×-4/3}/(-4/3)

after seperate

={121/9×-3/4}-2

= -121/12-2

= -145/12

Answer 2

Step-by-step explanation:

$p(x) = 3 {x}^{2} + 11x - 4 \\ \alpha + \beta = \frac{ - b}{a} = \frac{ - 11}{3} \\ \alpha \beta = \frac{c}{a} = \frac{ - 4}{3}$

$\frac{ \alpha }{ \beta } + \frac{ \beta }{ \alpha } = \frac{ { \alpha }^{2} + { \beta }^{2} }{ \alpha \beta } \\ = \frac{ {( \alpha + \beta ) }^{2} - 2 \alpha \beta }{ \alpha \beta } \\ = \frac{ ( { \frac{ - 11}{3} }^{2} ) - 2( \frac{ - 4}{3} )}{ \frac{ - 4}{3} } \\ = (\frac{ 121}{9} + \frac{8}{3} ) \times \frac{3}{4} \\ = \frac{121 + 24}{9} \times \frac{3}{4} \\ = \frac{145}{9} \times \frac{3}{4} \\ = \frac{145}{12}$