Question

Find the root of the quadratic equation root 3 x square - 2 x - root 3

Answer 1

$\huge\bf\underline{\underline{Question:}}$

${\sf{Find\: the\: root\: of\: the\: quadratic\: equation}}$

${\sf{ \sqrt{3} {x}^{2} - 2x - \sqrt{3}}}$

$\huge\bf\underline{\underline{Solution:}}$

$\sqrt{3} {x}^{2} - 2x - \sqrt{3} = 0 \\ \sqrt{3} {x}^{2} - 3x - x + \sqrt{3} \\ \sqrt{3} x(x - \sqrt{3} ) - 1(x - \sqrt{3} ) \\ (x - \sqrt{3} )( \sqrt{3} x - 1) \\ x - \sqrt{3} = 0 \: or \: \sqrt{3} x - 1 = 0 \\ x = \sqrt{3} \: or \: x = \frac{1}{ \sqrt{3} }$

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@ItsMysteriousGirl