If the root of the equation `(a-1)(x^2+x+1)^2=(a+1)(x^4+x^2+1)` are real and distinct, then the value of `a in ` `(-oo,3]` b. `(-oo,-2)uu(2,oo)` c. `[-2,2]` d. `[-3,oo)`

If the root of the equation (a-1)(x^2-x+1)^2=(a+1)(x^4+x^2+1) are real and distinct, then the value of a in a. (-oo,3] b. (-oo,-2)uu(2,oo) c. [-2,2] d. [-3,oo)

If the solution of the equation |(x^4-9) -(x^2 + 3)| = |x^4 - 9| - |x^2 + 3| is (-oo,p]uu[q,oo) then

For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is a. (-oo,-7]uu[1,oo) b. (-3,oo) c. (-oo,-7) d. [1,oo)

If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)

For x^2-(a+3)|x|=4=0 to have real solutions, the range of a is a (-oo,-7]uu[1,oo) b (-3,oo) c (-oo,-7] d [1,oo)

For x^2-(a+3)|x|-4=0 to have real solutions, the range of a is a) (-oo,-7]uu[1,oo) b) (-3,oo) c) (-oo,-7] d) [1,oo)

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

The range of a for which the equation x^2+ax-4=0 has its smaller root in the interval (-1,2)i s a. (-oo,-3) b. (0,3) c. (0,oo) d. (-oo,-3)uu(0,oo)

The possible values of a such that the equation x^2+2a x+a=sqrt(a^2+x-1/(16))-1/(16),xgeq-a , has two distinct real roots are given by: (a) [0,1] (b) [-oo,0] (c) [0,oo] (d) (3/4,oo)