Question

find the value of p if the quadratic equation 8x2-4px+6=0 has equal roots

Answer 1

roots are equal

Then
${b}^{2} - 4ac = 0$
$16 {p}^{2} - 4 \times 8 \times 6 = 0$
${p}^{2} - 12 = 0$
$p = + - 2 \sqrt{3}$