Question5. Find the solutions to the following equation $(x+3)^{2}=-36$

Studdy Solution
Solve for $x$ by isolating it on one side of the equation. Subtract 3 from both sides:
$x = -3 \pm 6i$
This gives us the two complex solutions:
$x = -3 + 6i \quad \text{and} \quad x = -3 - 6i$
The solutions to the equation $(x+3)^2 = -36$ are:
$$x = -3 + 6i \quad \text{and} \quad x = -3 - 6i$$