Q71 of 134 Page 4


Determine the value(s) of p for which the given quadratic equation hasreal roots: px 2+ 4x + 1 = 0.


Given the quadratic equation has real roots,
∴ Δ > 0
Here, a = p,

b = 4 and

c = 1
b 2 - 4ac > 0
(4) 2 - 4(p)(1) > 0
16 - 4p > 0
16 > 4p
4 > p
. . . p < 4.

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