hillst79 hillst79
  • 17-09-2020
  • Mathematics
contestada

The roots of an equation are x = -1 ± i. The equation is x2 +
+ 2 = 0.

Respuesta :

oscar236
oscar236 oscar236
  • 17-09-2020

Answer:

x^2 + 2x + 2.

Step-by-step explanation:

Write it in factor from:

(x -  (-1 + i))(x -  (-1 - i)) = 0

(x + 1 - i)(x + 1 + i) = 0

= x^2 + x + ix + x + 1 + i - ix - i -i^2

=  x^2 + 2x + 1  + 1

= x^2 + 2x + 2.

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