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In a quadratic equation, for roots to be real and distinct, b² - 4ac > 0
So, b² > 4ac
In this case, b = q; a = p; c = r
=> q² > 4pr
From the question, q²/4 = pr + 4
=> q² = 4pr + 14
So, q² is obviously greater than 4pr.
Therefore, roots are real and distinct(unequal).
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