Question

X^2 - 2x + 6 = 0
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Answer 1

x= plus or minus 1 plus imaginary root times square root of 5.

Explanation:

`{x}^(2) - 2x + 6 = 0`

Complete the Square.

`{x}^(2) - 2x = - 6`

`{x}^(2) - 2x + 1 = - 5`

`(x - 1) {}^(2) = - 5`

`x = + - 1 + i √(5)`