Find the set of values of 'a' if (x 2 + x) 2 + a (x 2 + x) + 4 = 0 has
(i) all four real & distinct roots.
(ii) four roots in which only two roots are real and distinct.
(iii) all four imaginary roots.
(iv) four real roots in which only two are equal.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. 
. Let 
then 
Now 
(i) all four real and distinct roots
(ii) Two real roots which are distinct
(iii) all four roots are imaginary
Case-(ii) 
taking union of both conditions mentioned by graph of case-(i) and case-(ii) a 
(iv) four real roots| in which two are equal
D 
No common solution 
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