Question

$if \: \alpha \: and \: \beta \: are \: roots \:of \: quadratic \: equation \: 3 {x}^{2} + kx + 8 = 0 \: and \: \frac{ \alpha }{ \beta } = \frac{2}{3} then find \: the \: value \: of \: k.$
plzz give me detail explanation or else click photo of your answer .​

Answer 1

Step-by-step explanation:

$\alpha + \beta = \frac{ - coefficent \: of{x}}{coefficent \: of \: {x }^{2} } \\ \\ \\ \alpha \beta = \frac{constant \: term}{cofficent \: of \: {x}^{2} } \\ \\ \\ the \: equation \: will \: be \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta$