If `(x^2+x+2)^2-(a-3)(x^2+x+1)(x^2+x+2)+(a-4)(x^2+x+1)^2= 0` has at least one root, then find the complete set of values of `adot`

If 2^(2x+2)-a*2(x+2)+5-4a>=0 has at least one real solution,then complete set of values of a is

" If "tan^(2)x+sec x=a+1" has at least one solution,then the complete set of values of "a" is "

If x^2-(a-3)x+a =0 has at least one positive root,then

If x^(2)-x+a-3<0 for at least one negative value of x, then complete set of values of 'a is

The values of 'a' for which the equation (x^(2)+x+2)^(2)-(a-3)(x^(2)+x+2)(x^(2)+x+1)+(a-4)(x^(2)+x+1)^(2)= has atlesast one real root is:

The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2+ x+2)(x^2 +x + 1) + (a-4)(x^2 + x + 1)^2 = 0 has atlesast one real root is:

The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2+ x+2)(x^2 +x + 1) + (a-4)(x^2 + x + 1)^2 = 0 has atlesast one real root is:

The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2+ x+2)(x^2 +x + 1) + (a-4)(x^2 + x + 1)^2 = 0 has atlesast one real root is:

If x^(2)+2(a-1)x+a+5=0 has real roots belonging to the interval (2,4), then the complete set of values of a is

If x^2 + 2(a-1)x + a + 5 = 0 has real roots belonging to the interval (2, 4), then the complete set of values of a is