Question

For what values of p are the roots of the equations $4x^2+px+3=0$ real and equal?

Answer 1

$4x^2+px+3$ has real roots.
Here, a = 4 , b = p , c = 3
$b^2-4ac=0$ ,
$p^2-4\left(4\right)\left(3\right)=0$
$p^2-48=0$
$p^2=48$
$p=\sqrt{4}8$
\(p = + 4√3\)