CATAlgebra > Medium444222111333✅ Correct Option: 2Related 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 2020 Slot 2Let f(x)=x2+ax+bf(x)=x^{2}+a x+bf(x)=x2+ax+b and g(x)=f(x+1)−f(x−1)g(x)=f(x+1)-f(x-1)g(x)=f(x+1)−f(x−1). If f(x)≥0f(x) \geq 0f(x)≥0 for all real xxx, and g(20)=72g(20)=72g(20)=72, then the smallest possible value of bbb isCAT 2017 Slot 1If f1(x)=x2+11x+nf_{1}(x)=x^{2}+11 x+nf1(x)=x2+11x+n and f2(x)=xf_{2}(x)=xf2(x)=x, then the largest positive integer nnn for which the equation f1(x)=f2(x)f_{1}(x)=f_{2}(x)f1(x)=f2(x) has two distinct real roots, is