Question

quadric equation
√3n^2+10n+7√3=0​

Answer 1

$\sqrt{3} {n}^{2} + 10n + 7 \sqrt{3} = 0 \\ \\ = > \sqrt{3} {n}^{2} + 3n + 7n + 7 \sqrt{3} = 0 \\ \\ = > \sqrt{3}n(n + \sqrt{3} ) + 7(n + \sqrt{3} ) = 0 \\ \\ = > (n + \sqrt{3})( \sqrt{3} n + 7) = 0$

Required values of n :

$- \sqrt{3} \: and \: \frac{ - 7}{ \sqrt{3} }$

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