Question

1. 2x² + 9 = -41

Explanation:

Step1: Isolate the $x^2$ term

Subtract 9 from both sides.
$2x^2 + 9 - 9 = -41 - 9$
$2x^2 = -50$

Step2: Solve for $x^2$

Divide both sides by 2.
$x^2 = \frac{-50}{2}$
$x^2 = -25$

Step3: Solve for $x$

Take square root of both sides.
$x = \pm\sqrt{-25} = \pm 5i$

Answer:

$x = 5i$ and $x = -5i$