Question

Find the values of $p$ for which the quadratic equation $4x^2+px+3=0$ has equal roots.

Answer 1

Given quadratic equation: $4x^2+px+3=0$
Given the roots of the equation are equal.

$⟹D=b^2-4ac=0$

So for the equation, $4x^2+px+3=0$

$p^2-4\left(4\right)\left(3\right)=0$
$p^2=48$
$p=\pm 4\sqrt{3}$