The set of values of c for which `x^3 -6x^2 + 9x -c` is of the form `(x-a)^2(x - b)` (a, b is real) is given by

If x^(3)+3x^(2)-9x+c is of the form (x-alpha)^(2)(x-beta) then c is equal to

If x^(3)+3x^(2)-9x+c is of the form (x-alpha)^(2)(x-beta), then c is equal to a.27b-27c.5d.-5

Let A denotes the set of values of x for which (x+2)/(x-4) le0 and B denotes the set of values of x for which x^2-ax-4 le 0. If B is the subset of A then a cannot take integral value (a) 0, (b) 1 (c) 2 (d) 3

The set of real values of x for which log_(2x + 3) x^(2)ltlog_(2x+3)(2x + 3) is (a,b) uu (b,c) uu (c,d) then

Complete set of real values of x for which log_((2x-3))(x^(2)-5x-6) is defined is :

The number of values of the triplet (a,b,c) for which a cos 2x+b sin^(2)x+c=0 is satisfied by all real x, is

Given that zeroes of cubic polynomial x^(3)-6x^(2)+10 are of the form a,a+b,a+2b for some real numbers a and b, find the values of a and b as well as zeroes of the given polynomial.

If x, a, b, c are real and (x-a+b)^(2)+(x-b+c)^(2)=0 , then a, b, c are in