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sp2606 [1]
3 years ago
14

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

Mathematics
1 answer:
zalisa [80]3 years ago
3 0

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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