Question

type the correct answer in the box. use numerals instead of words. what is the solution of this equation? (\frac{1}{2}n^2 + 18 = 0) (n = pm square)

Explanation:

Step1: Isolate the squared term

$\frac{1}{2}n^2 = -18$

Step2: Eliminate the coefficient of $n^2$

$n^2 = -18 \times 2 = -36$

Step3: Solve for $n$ using square roots

$n = \pm \sqrt{-36} = \pm 6i$

Answer:

$n = \pm 6i$