Question

if
$if \: \alpha \: and \: \beta \: r \\ are \: the \: roots \: of \: the \: quadratic \: equation \: 3x {}^{2} \: + 11 = 0 \: find \: the \: value \: of \: \alpha . \beta .$
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Answer 1

✨ thanks for asking✨✨

here is your answer ⤵⤵⤵

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$if \: \alpha \: and \: \beta \: are \: two \: roots \\ then \: in \: the \: quadric \: \\ equatin \: formula \: is : \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ from \: the \: question \: we \: can \: write \\ 3 {x}^{2} + 11 = 0 \\ 3 {x}^{2} - 0 \times x + 11 = 0 \\ so \: here \: we \: can \: compair\\ {x}^{2} = 3 {x}^{2} \\ ( \alpha + \beta )x = 0 \times x \\ = > ( \alpha + \beta ) = 0 \\ then \\ \alpha \beta = 11 \\ so \: the \: value \: of \: \alpha \beta = 11$

✨✨hope it helps✨✨