Find the values o

Given quadratic equation 4x² + px + 3 = 0

Also given the equation has equal roots.

We know that a quadratic equation ax² + bx + c = 0 has two equal roots, if b² – 4ac = 0.

Comparing the given equation, we get

a = 4; b = p and c = 3

⇒ p² – 4(4)(3) = 0

⇒ p² – 48 = 0

⇒ p² = 48

⇒ p = ± 4√3

∴ The values of p are 4√3 and -4√3.