If the equation `x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR`, has exaclty three distinct solutions, then k is eaual to _____.

If the equation x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR , has exactly three distinct solutions, then k is equal to _____.

The complete set of values of k for which the equation |x^2 - 6x +sgn(1+ |sin x|) - 8| = k^2 has exactly 4 distinct solutions is

If the equation x^(2) + 4x - k = 0 has real and distinct roots, then

If the equation 5arctan(x^(2)+x+k)+3arc cot(x^(2)+x+k)=2 pi, has two distinct solutions,then the range of k, is

If the equation 5arctan(x^(2)+x+k)+3arc cot(x^(2)+x+k)=2 pi, has two distinct solutions,then the range of k, is

If the equation 5arctan(x^(2)+x+k)+3arc cot(x^(2)+x+k)=2 pi, has two distinct solutions,then the range of k, is

The complete set of values of k for which the equation |x² - 6x +sgn (1+| sin x |)– 8 |= k^2 has exactly 4 distinct solutions is [Note: sgn (k) denotes signum function of k.]

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.