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What is the solution of this equation?

[tex]\[
-\frac{1}{2} n^2 + 18 = 0
\][/tex]

[tex]\[
n = \pm \square
\][/tex]



Answer :

To solve the equation
[tex]\[ -\frac{1}{2} n^2 + 18 = 0, \][/tex]
we need to isolate [tex]\( n \)[/tex].

1. Start by moving the constant term to the other side of the equation:
[tex]\[ -\frac{1}{2} n^2 = -18. \][/tex]

2. Next, to eliminate the fraction, multiply both sides of the equation by [tex]\(-2\)[/tex]:
[tex]\[ n^2 = 36. \][/tex]

3. To solve for [tex]\( n \)[/tex], take the square root of both sides:
[tex]\[ n = \pm \sqrt{36}. \][/tex]

4. This gives us:
[tex]\[ n = \pm 6. \][/tex]

So, the solution of this equation is:
[tex]\[ n = \pm 6. \][/tex]