By Vieta's formulas, r + s = -4 and rs = 12. Squaring the equation r + s = -4, we get r^2 + 2rs + s^2 = 16. Then r^2 + s^2 = 16 - 2rs = 16 - (2rs) = 16 - 2(12) = -8.

Hey, thanks for the answer, It appears it isnt correct, and I dont know what to do. I've used Vietas formula on this so many times and ive came up with -4, and apparently -8 isnt correct, thank you for the answer, can anybody else help?