If the roots of the equation `x^2-8x+a^2-6a=0` are real distinct, then find all possible value of `adot`

If all roots of the equation x^(3)+ax^(2)-ax-1=0 are real and distinct,then the set of values of a is

If the equation x^(2)+4x+k=0 has real and distinct roots, then find the value of 'k'.

Sum of the real roots of the equation x^(2)+5|x|+6=0

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

The range of values of a so that all the roots of the equations 2x^(3)-3x^(2)-12x+a=0 are real and distinct, belongs to

If the roots of the quadratic equation 2x^(2)+8x+k=0 are equal, find the value of k .