CATAlgebra > Medium444222111333✅ Correct Option: 2Related questions:CAT 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 2022 Slot 3Suppose kkk is any integer such that the equation 2x2+kx+5=02 x^{2}+k x+5=02x2+kx+5=0 has no real roots and the equation x2+(k−5)x+1=0x^{2}+(k-5) x+1=0x2+(k−5)x+1=0 has two distinct real roots for xxx. Then, the number of possible values of kkk 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?