Question

the roots of that equation are

Answer 1

$\sqrt{3} {x}^{2} + 10x - 8 \sqrt{3} \\ \sqrt{3} {x}^{2} + 12x - 2x - 8 \sqrt{3} \\ \sqrt{3} {x}^{2} + 4 \times 3x - 2x - 2 \times 4 \sqrt{3} \\ \sqrt{3} {x}^{2} + 4 \times \sqrt{3} \sqrt{3} x - 2x - 2 \times 4 \sqrt{3} \\ \sqrt{3}x(x + 4 \sqrt{3}) - 2(x + 4 \sqrt{3} ) \\ (x + 4 \sqrt{3} )( \sqrt{3} x - 2) = 0 \\ (x + 4 \sqrt{3} ) = 0 \\ x = - 4 \sqrt{3} \\ ( \sqrt{3} x - 2) = 0 \\ \sqrt{3x} = 2 \\ x = \frac{2}{ \sqrt{3} }$