Find all solutions of the equation x^2 -2 x + 6 = 0 by completing the square. Express the soutions in the form a + b i:

Mathematics

1 answer:

Leto [7]3 years ago

3 0

$x^2-2x+6=0\\
x^2-2x+1+5=0\\
(x-1)^2=-5\\
x-1=\sqrt{-5} \vee x-1=-\sqrt{-5}\\
x=1+5i \vee x=1-5i\\$

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