For what values of p are the roots of the equation 4 x2 + px + 3 = 0 real and equal?
Given equation is 4 x2 + px + 3 = 0
Comparing with standard quadratic equation ax2 + bx + c = 0
a = 4 b = p c = 3
Given that the roots of equation are real and equal
Thus D = 0
Discriminant D = b2 – 4ac = 0
(p)2 – 4.4.3 = 0
p2 = 48
The values of p are 
for which roots of the quadratic equation are real and equal.
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