Let q be the maximum integral value of p in [0, 10] for which the roots of the equation

Let q be the maximum integral value of p in [0, 10] for which the roots of the equation x² - px + 5/4 p = 0 are rational. Then the area of the region {(x, y) : 0 ≤ y ≤ (x-q)², 0 ≤ x ≤ q} is

(1) 243

(2) 25

(3) 125/3

(4) 164

Let q be the maximum integral value of p in [0, 10] for which the roots of the equation

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