Step-by-step explanation:
For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.
For px² + 8x + 2 = 0,
We have a = p, b = 8 and c = 2.
=> (8)² - 4(p)(2) < 0
=> 64 - 8p < 0
=> 8p > 64
=> p > 8
Hence the range for p is p > 8.
