CATAlgebra > Hard−6-6−6666−3-3−3333✅ Correct Option: 3Related questions:CAT 2022 Slot 2Let rrr and ccc be real numbers, if rrr and −r-r−r are roots of 5x3+cx2−10x+9=05 x^{3}+c x^{2}-10 x+9=05x3+cx2−10x+9=0, then ccc equalsCAT 2021 Slot 2Suppose one of the roots of the equation ax2−bx+c=0ax^2 - bx + c = 0ax2−bx+c=0 is 2+32+\sqrt{3}2+3 where a, b and c are rational numbers and a≠0a \neq 0a=0. If b=c3b = c^3b=c3 then ∣a∣|a|∣a∣ equalsCAT 2019 Slot 2Let AAA be a real number. Then the roots of the equation x2−4x−log2A=0x^2 - 4x - \log_2A = 0x2−4x−log2A=0 are real and distinct if and only if