I agree with your real solutions, Alan
I also thought that the complex solutions to y^2 - 4y + 7 = 0 were answers
But...Wolframalpha gives these answers for the complex solutions :
https://www.wolframalpha.com/input/?i=y%5E2+-++abs+%284y+-+2+%29++%2B+5+%3D0
Do you see how they got those ???