Question

Find all solutions to the equation $(x - 1)^2 = -4$.

Answer 1

...................

Answer 2

Answer:

1 + 2i , 1 - 2i

Step-by-step explanation:

We take the square root of both sides and get

$x - 1 = \pm \sqrt{-4}$

The square root of

$\sqrt{-4} = \pm \ 2i$

Inserting the square root into the equation gives us

$x - 1 = \pm \ 2i$

Adding 1 to both sides of the equation gives us

$x = 1 \pm \ 2i$

(1 + 2i, 1 - 2i)

Terms used:

$\pm$ = either added or subtracted

i = square root of - 1

Feel free to ask any questions!