Question

2x^2 -6x +3=0 ,find the nature of roots of following quadratic equation​

Answer 1

$\sf {b}^{2} - 4ac = {( - 6)}^{2} - 4(2)(3) \\ \sf= 36 - 24 \\ \boxed{\sf d= 12}$

$\sf \: Now \: d = 12 > 0$

$\hookrightarrow \sf \: therefore \: this \\ \sf \: equation \: have \: 2 \: distinct \: roots.$