Question

What is the sum of the squares to the solutions for the equation sqrt(1-cosx)+sqrt(1+cosx)=sqrt(3) that lies between -pi and pi?

Answer 1

take \[\sqrt{1-cosx}=t\]
we have
\[\sqrt{1-t}=\sqrt{3}-\sqrt{1+t}\]
now do squaring on both sides and find t

Answer 2

you'll get x=pi/6 and 5pi/6

Answer 3

So according to that, the answer is pi?
That's very incorrect :(