If the two roots (a-1)(x^4+x^2+1)+(a+1)(...

If the two roots `(a-1)(x^4+x^2+1)+(a+1)(x^2+x+1)^2`=0 are real and distinct, then the set of all values of 'a' is........

A

`(-1/2,0)`

B

`(-oo,-2)uu (2,oo)`

C

`(-1/2 ,0)uu (0,1/2)`

D

`(0,1/2)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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 roots of 5x^(2)-kx+1=0 are real and distinct then

If ax^(2)-2x+1>0 for atleast one positive real x ,then set of all values of a is

If ax^(2)-2x+1>0 for atleast one positive real x, then set of all values of a is

(B) (2,9/4 ) If two roots of the equation (a-1)(x^(2)+x+1)^(2)-(a+1)(x^(4)+x^(2)+1)=0 are real and distinct,then a lies in the interval

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

If both the roots of the equation x^(2)+(a-1) x+a=0 are positive, the the complete solution set of real values 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 two roots of the equation (lambda-1)(x^(2)+x+1)^(2)-(lambda+1)(x^(4)+x^(2)+1)=0 are real and distin then lambda lies in the interval