Question

Solve. 2x^2 – 8x – 14 = 0

Answer 1

x = 2-sqrt(11)
x = 2+sqrt(11)
min{2 x^2-8 x-14} = -22 at x = 2

Answer 2

Delta = 176
Discriminant[-14 - 8 x + 2 x^2, x]


Alternate forms of the question asked:
2 ((x-4) x-7)
x (2 x-8)-14
2 (x-2)^2-22