the set of values of a for which $$x^2+ax+\sin^{-1} (x^2-4x+5)+\cos^{-1} (x^2-4x+5)$$has at least one real solution is

Question

anonymous · Answer

@geerky42 ?
@annas ?
@beccamarx19 ?
@Conqueror ?
@Destinymasha ?
@elementwielder ?
@Future_UsArmy_MP ?
@ganeshie8 ?

anonymous · Answer

i think this would be simplified to

anonymous · Answer

i think this would be simplified to $$x^2+ax+\pi/2=0$$

anonymous · Answer

now how to solve further?

anonymous · Answer

should i apply b^2-4ac>=0

anonymous · Answer

bu the answer is not coming correct if i apply it!!!

anonymous · Answer

@mathmale ?

anonymous · Answer

@naylah ?
@blues ?

anonymous · Answer

What you have given is an expression.  I cannot seen why an expression has a solution.

anonymous · Answer

Should there be another condition that $$x ^{2}-4x+5\le1 $$ ie x=2.
Thus a=-8-pi/4