Mathematics: What is the solution of this equation? Plz help asap!

What is the solution of this equation? Plz help

ekautz9675

07.02.2022

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$- \frac{1}{2} {n}^{2} + 18 = 0 \\$

Subtract sides 18

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

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

Negatives simplifies

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

Multiply sides by 2

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

${n}^{2} = 36$

Take √ of the sides

$\sqrt{ {n}^{2} } = \sqrt{36} \\$

|n| = 6

$n = ± \: 6$

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