What does the fundamental theorem of algebra state about the equation
2x^2 + 8x + 14 = 0 divide through by 2
x^2 + 4x + 7 = 0 subtract 7 ffrom both sides
x^2 + 4x = - 7 complete the square on x
x^2 + 4x + 4 = - 7 + 4
(x + 2)^2 = - 3 take the root of both sides
x + 2 = ±√-3
x + 2 = ±√3 i
x = -2 ±√3 i ⇒ First answer