Find the values of `a` for which eht equation `||x-2|+a|=4` can have four distinct real solutions.

The equation |x-a|-b|=c has four distinct real roots,then

Find the values of a for which the equation x^(4)+(1-2a)x^(2)+a^(2)-1=0(A) has no real solutions (B) has one real solution (C) has two distinct real solutions (D) has three real solutions(E) has four distinct real solutions

Find the values of k for which the equation x^(2)-4x+k=0 has distinct real roots.

Find the set of values of lambda for which the equation |x^(2)-4|x|-12]=lambda has 6 distinct real roots.

Find the set of real value(s) of a for which the equation |2x+3|+|2x-3|=ax+6 has more than two solutions.

The range of real values of ' p' for which the equation 2log_(3)^(2)x-|log_(3)x|+p=0 has four distinct solutions is

Minimum integral value of k for which the equation e^(x)=kx^(2) has exactly three real distinct solution,

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has two real solutions