The number of integers c such that `x^2 - 6|x| + c = 0` has exactly four solutions ..

The number of integral values of n such that the equation 2n{x}=3x+2[x]has exactly 5 solutions.

The number of integral values of k for which the equation |x^(2)-5|x|+6|=k has four solution is

If b and c are odd integers, then the equation x^2 + bx + c = 0 has-

If |4-x^(2)|=a such that a is integer then find number of values of a such that given equation has four solution

Number of real values of k for which the equation (x+2)/(kx-1)=x has exactly one real solution is (A)0(B)1(C)2(D)3

If a in R and the equation (a-2) (x-[x])^(2) + 2(x-[x]) + a^(2) = 0 (where [x] denotes the greatest integer function) has no integral solution and has exactly one solution in (2, 3), then a lies in the interval

If a in R and the equation (a-2) (x-[x])^(2) + 2(x-[x]) + a^(2) = 0 (where [x] denotes the greatest integer function) has no integral solution and has exactly one solution in (2, 3), then a lies in the interval

Number of integers in the range of 'c' so that the equation x^3-3x+c=0 has all its roots real and distinct is

Number of integers in the range of 'c' so that the equation x^(3)-3x+c=0 has all its roots real and distinct is

Find the values of a if equation 1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi), has exactly one solution.