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

Given equation is 4 x^{2} + px + 3 = 0

Comparing with standard quadratic equation ax^{2} + bx + c = 0

a = 4 b = p c = 3

Given that the roots of equation are real and equal

Thus D = 0

Discriminant D = b^{2} – 4ac = 0

(p)^{2} – 4.4.3 = 0

p^{2} = 48

The values of p are for which roots of the quadratic equation are real and equal.

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