Question

Solve for $x$ : $4\sqrt{3}{x}^2+5x-2\sqrt{3}=0$ Write about the nature of roots.

Answer 1

$4\sqrt{3}{x}^2+5x-2\sqrt{3}=0$

$D=b^2-4ac$

$={\left(5\right)}^2-4\times 4\sqrt{3}\times -2\sqrt{3}$

$=25+96$

$=121>0$

So , roots of given equation are real and distinct