2 Answers

NOr · Answer 1 · 2021-01-09T23:38:32+0000

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$- (1)/(2) {n}^(2) + 18 = 0 \\$

Subtract sides 18

$- (1)/(2) {n}^(2) + 18 - 18 = - 18 \\$

$- (1)/(2) {n}^(2) = - 18 \\$

Negatives simplifies

$(1)/(2) {n}^(2) = 18 \\$

Multiply sides by 2

$2 * (1)/(2) {n}^(2) = 2 * 18 \\$

${n}^(2) = 36$

Take √ of the sides

$\sqrt{ {n}^(2) } = √(36) \\$

|n| = 6

$n = ± \: 6$

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