Çözüldü Quadratic Equations

From the 2024 Copernicus Olympiad Exam:


https://i.ibb.co/gM9vhnx/Copernicus.png
https://copernicusolympiad.us/wp-content/uploads/2024/06/Mar-Pre-1.pdf
(The Last Question, Answers: The Last Page)

a = { -(-5) + [ (-5)^2 - 4·2·2 ]^0.5 } / (2·2) = 2 ⇒ 3·2 + 2 = 8
b = { -(-5) - [ (-5)^2 - 4·2·2 ]^0.5 } / (2·2) = 1 / 2 ⇒ 3·(1 / 2) + 2 = 7 / 2
x^2 - (8 + 7 / 2)·x + 8·(7 / 2) = 0 ⇒ 2x^2 - 23x + 56 = 0.