Question

solve for the solution of the quadratic equation $x^2 = -400$. use the keypad to enter your answer in the box. additional symbols can be found using the drop - down arrows at the top of the keypad. $x = \square$

Explanation:

Step1: Isolate x via square root

$$x = \pm\sqrt{-400}$$

Step2: Rewrite negative radicand

$$x = \pm\sqrt{400 \times (-1)}$$

Step3: Apply imaginary unit rule

$$x = \pm\sqrt{400}i$$

Step4: Simplify square root

$$x = \pm20i$$

Answer:

$x = 20i$ and $x = -20i$