MathematicsMedium94×since 2002Q2853Let qqq be the maximum integral value of ppp in [0,10][0,10][0,10] for which the roots of the equation x2−px+54p=0x^2-p x+\frac{5}{4} p=0x2−px+45p=0 are rational. Then the area of the region {(x,y):0≤y≤(x−q)2,0≤x≤q}\left\{(x, y): 0 \leq y \leq(x-q)^2, 0 \leq x \leq q\right\}{(x,y):0≤y≤(x−q)2,0≤x≤q} is :A1253\frac{125}{3}3125B243C164D25Check answerSkip