CATAlgebra > Mediumthe empty seteither the empty set or the set of all integersthe set of all integersthe set of all positive integers✅ Correct Option: 2Related 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 2023 Slot 1The equation x3+(2r+1)x2+(4r−1)x+2=0x^3 + (2r + 1)x^2 + (4r - 1)x + 2 = 0x3+(2r+1)x2+(4r−1)x+2=0 has −2- 2−2 as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of rrr isCAT 2019 Slot 2The quadratic equation x2+bx+c=0x² + bx + c = 0x2+bx+c=0 has two roots 4a4a4a and 3a,3a,3a, where a is an integer. Which of the following is a possible value of b2+cb² + cb2+c?