The least possible value of a for which `(x^3-6x^2+11 x-6)/(x^3+x^2-10 x+8)+a/30=0`does not have a real solution is

The value(s) of a, for which (x^3-6x^2+11x-6)/(x^3+x^2-10x+8) + a/30 = 0 does not have real solution is/are

x^(3)-6x^(2)+11x-6=0

Determine all possible values of 'a' for which the equation cos^4 x - (a +2) cos^2 x-(a+3) = 0 will have real solution

Evaluate: (lim)_(x->2)(x^3-6x^2+11 x-6)/(x^2-6x+8)

Evaluate: (lim)_(x->2)(x^3-6x^2+11 x-6)/(x^2-6x+8)

Evaluate: lim_(xto2)(x^3-6x^2+11 x-6)/(x^2-6x+8)

Evaluate: (lim)_(x rarr2)(x^(3)-6x^(2)+11x-6)/(x^(2)-6x+8)

The values of p, for which the equations 6x + py - 5 = 0 and 3x + 2y - 8 = 0 have unique solution is :

Exact set of values of a for which x^(3)(x+1)=2(x+a)(x+2a) is having four real solutions is

Divide: x^3-6x^2+11 x-6\ b y\ \ x^2-4x+3