CATAlgebra > Hard83+p+13q\dfrac{8}{3} + p + \dfrac{1}{3}q38+p+31q23−p+32q\dfrac{2}{3} - p + \dfrac{3}{2}q32−p+23q83−p+32q\dfrac{8}{3} - p + \dfrac{3}{2}q38−p+23q23−2p+23q\dfrac{2}{3} - 2p + \dfrac{2}{3}q32−2p+32q✅ Correct Option: 3Related questions:2025 Slot 3If f(x)=(x2+3x)(x2+3x+2)f(x)=(x^2+3x)(x^2+3x+2)f(x)=(x2+3x)(x2+3x+2), then the sum of all real roots of the equation f(x)+1=9701\sqrt{f(x)+1}=9701f(x)+1=9701, isCAT 2022 Slot 1Let a,b,ca, b, ca,b,c be non-zero real numbers such that b2<4acb^2 < 4acb2<4ac, and f(x)=ax2+bx+cf(x) = ax^2 + bx + cf(x)=ax2+bx+c. If the set S consists of all integers m such that f(m)<0f(m) < 0f(m)<0, then the set S must necessarily be2025 Slot 1The number of non-negative integer values of kkk for which the quadratic equation x2−5x+k=0x^2 - 5x + k = 0x2−5x+k=0 has only integer roots, is