Question

if alpha and beta are the root of quadratic equations x square -3x-2 then Alpha upon beta + beta upon alpha

Answer 1

${x}^{2} - 3x - 2 = 0 \\ \alpha + \beta = 3 \\ \alpha \beta = - 2 \\ \frac{ \alpha }{ \beta } + \frac{ \beta }{ \alpha } \\ = \frac{ { \alpha }^{2} + { \beta }^{2} }{ \alpha \beta } \\ = \frac{ {( \alpha + \beta )}^{2} - 2 \alpha \beta }{ \alpha \beta } \\ = \frac{ {3}^{2} - 2( - 2)}{( - 2)} \\ = \frac{ - 13}{2}$
hope it helps