If `x^(2) +ax - 3x-(a+2) = 0` has real and distinct roots, then minimum value of `(a^(2)+1)//(a^(2)+2)` is

If x^(2)-ax+b=0 where a,b in N has real and distinct roots,then a_(min)+b_(min)=

If x^2-4x+log_(1/2)a=0 does not have two distinct real roots, then maximum value of a is

If x^(2)-4x+log_((1)/(2))a=0 does not have two distinct real roots,then maximum value of a is

Show that the equation x^(2)+ax-4=0 has real and distinct roots for all real values of a .

If the equation x^(4)+ax^(3)+2x^(2)+bx+1=0 has at least one real root (a ,b in R) then the minimum value of a^(2)+b^(2)

If x^(2)-ax+1=0 has two distinct roots, then value of a is precisely different from

If x^(2)-ax+1=0 has two distinct roots, then value of a precisely different from

Show that the equation x^2+a x-4=0 has real and distinct roots for all real values of a .