Question

what is nature of root for quadratic equation ?
${2x }^{2} + 5 \sqrt{3x \:} + 6 = 0$
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Answer 1

$\mathtt{\huge{\underline{\underline{\red{QuEsTiOn:-}}}}}$$\rm\Large\underline\green{determine\: the\: nature\: of\: root\: :-}$ $\mathtt\green{2x² + 5 \sqrt{3} x +6}$$\mathtt{\huge{\underline{\underline{\pink{SoLuTiOn:-}}}}}$

$\purple{ b² - 4ac = (5√3)² - 4×2×6 \</p><p>→27}$

$\texttt\blue{the\: equation\: have\:real\:root}$