Answer :

Given that the quadratic equation 2x2 + px + 8 = 0 has real roots

Comparing with standard quadratic equation ax2 + bx + c = 0


a = 2 b = p c = 8


Thus D = 0


Discriminant D = b2 – 4ac≥0


(p)2 – 4.2.8≥0


(p)2 – 64≥0


p2 ≥ 64 taking square root on both sides


p≥8 or p≤ – 8


The roots of equation are real for p≥8 or p≤ – 8


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