Question

Determine the nature of the roots for the quadratic equation
√3 x² + √2x– 2/3=0.​

Answer 1

$d = b ^{2} - 4ac \\ = { \sqrt{2} }^{2} - 4( \sqrt{3)} ( - \frac{2}{3} ) \\ = 2 + 8 \frac{ \sqrt{3} }{{3}}$

the roots will be real as d>0