Question

find the value of k if the quadratic equation 3x2-kâš3x+4=0 has equal roots

Answer 1

for real and equal roots D=0
$9 {k}^{2} - 48 = 0 \\ 9 {k}^{2} = 48 \\ {k}^{2} = \frac{48}{9} \\ k = + - \sqrt{ \frac{48}{9} } \\ \\ k = + - \frac{4}{3} \sqrt{3}$