Q. 64.3( 6 Votes )

For what values of p are the roots of the equation 4 x2 + px + 3 = 0 real and equal?

Answer :

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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