Question

factor the trinomial and simplify:
$(x + \square \boldsymbol{\times} \
ightarrow -3 )^2 = \square \boldsymbol{\times} \
ightarrow -4$
complete
use the square root property of equality to solve
$(x - 3)^2 = -4$.
the solutions are .
done

Explanation:

Step1: Apply square root property

Take square roots of both sides:
$$\sqrt{(x-3)^2} = \sqrt{-4}$$

Step2: Simplify square roots

Recall $\sqrt{-1}=i$, so $\sqrt{-4}=2i$:
$$x-3 = \pm 2i$$

Step3: Isolate x

Add 3 to both sides:
$$x = 3 \pm 2i$$

Answer:

$x=3+2i$ and $x=3-2i$