Question

given the quadratic equation $x^2 + 484 = 0$. what is the solution to this equation? use the keypad to enter the missing values in the box. additional symbols can be found using the drop - down arrows at the top of the keypad. the possible solutions to the equations are $x = \square$ and $x = \square$.

Explanation:

Step1: Isolate the squared term

$x^2 = -484$

Step2: Take square root of both sides

$x = \pm\sqrt{-484}$

Step3: Simplify the imaginary root

$\sqrt{-484} = \sqrt{484 \times (-1)} = 22i$

Answer:

$x = 22i$ and $x = -22i$