Q74 of 134 Page 4


Determine the value(s) of p for which the given quadratic equation hasreal roots: 4x 2+ 8x - p = 0.


a = 4,

b = 8 and

c = -p
Δ = b 2 – 4ac

= 8 2 – 4(4)(-p)

= 64 + 16p
Given, Δ ≥ 0
64 + 16p ≥ 0
4 + p ≥ 0
p ≥ -4.

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